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Q&A for How to Find the Slope of an Equation
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QuestionWhat is the slope for the equation y=1?DonaganTop AnswererThe graph of y=1 is a straight, horizontal line, meaning that it does not rise or fall as it moves left or right. Its slope is therefore zero.
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QuestionWhat if the equation is like x+y=0 or x-y=0?Community AnswerThat's no problem. When x+y=0, y=-x. In this case the slope is -1. On the other hand, when x-y=0, y=x. Here the slope is +1.
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QuestionWhat's the difference between a slope = 0 and slope = undefined?DonaganTop AnswererA zero slope is a horizontal line (parallel to the x-axis), and an undefined slope is a vertical line (parallel to the y-axis).
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QuestionSlope of a line 2x - y +9?DonaganTop AnswererIf the equation is 2x - y + 9 = 0, re-write it as y = 2x + 9. Once the equation is written in that form, the slope is seen as the coefficient of the independent variable (x in this case). So the slope is 2.
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QuestionHow do I find the slope given a single point on a straight line?DonaganTop AnswererIf all you're given are the coordinates of a single point on a line, you cannot find a line's slope. You would need the coordinates of at least one more point.
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QuestionHow do I find the slope in a word problem?DonaganTop AnswererYou would have to write an equation that reflects the conditions stated in the word problem. If you can write it in (or change it to) the form y = mx + b, the slope will be the x-coefficient (m).
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QuestionSo is the slope of y=-2 .-2?Community AnswerNo. y = -2 is graphed as a horizontal line, meaning its slope is zero. Put another way, there is no x-term in the equation y = -2, meaning that the x-coefficient is zero. The x-coefficient is also the slope.
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QuestionHow do I find the equation of a vertical line containing the point (2,5)?Community AnswerIts equation is x=2.
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QuestionHow would I find the slope of the line y = 4?DonaganTop AnswererAny line whose equation is y = k (where k is any constant) will be horizontal (that is, parallel to the x-axis) and therefore will have a slope of zero. Another way of explaining it is to view y = 4 in the slope-intercept form: y = mx + b, where m (the slope) is zero (and b is 4).
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QuestionHow do I find the slope intercept equation using only one set of points?DonaganTop AnswererIf you mean that the only information given is one point on the line, that's not enough information to define a line. You must have at least two points to define a straight line, or you must know one point and the slope.
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QuestionWhat is the slope of x = -2?Community AnswerThe slope is "undefined" (or infinity). The graph is a vertical line, meaning that for the only value of x (-2), there are an infinite number of y values on that vertical line.
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QuestionWhat is y if the slope between (4,y) and (10,0) is 4/3?Community AnswerThe slope equals (y2 - y1) / (x2 - x1). So 4/3 = (0 - y) / (10 - 4). Now cross-multiply: (4)(6) = (3)(-y). Then 24 = -3y, and y = -8.
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QuestionWhat is y if the slope between (4,y) and (10,0) is 4/3?Community AnswerThe slope is (y2 - y1) / (x2 - x1) = (0 - y) / (10 - 4) = -y / 6. Set that equal to the given slope, 4/3: -y/6 = 4/3. Now cross-multiply: (-y)(3) = (6)(4). So -3y = 24, and y = -8.
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QuestionWhat would the slope-intercept form be for the equation -2x+5y=10 be?Community AnswerAdd 2x to both sides of the equation, and then divide both sides by 5. That results in the slope-intercept form: y = (2x + 10) / 5 = (2/5)x + 2. That means the slope is 2/5, and the y-intercept is +2.
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QuestionWhat is the slope of the line y = (-3/2) x - 2?Community AnswerThe slope is -3/2.
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QuestionWhat would the slope be if it was something like y = 4/5x?Community AnswerAssuming y = (4/5)x, the slope is 4/5. Whenever an equation takes the form of y = mx + b (as this one does -- b being 0), m (the coefficient of x) is the slope.
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QuestionFind the slope of the line f(x) = 2x^2 + 4x at point (2, 4)?GB742Top AnswererFirst off, we need to differentiate f(x) to find f'(x). f'(x) = 4x+4. To find the slope of the tangent to the line at (2, 4), substitute the x ordinate of the point: f'(2) = 4(2)+4 = 12. Therefore, the slope of f(x) at (2, 4) is 12.
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QuestionWhat is the slope for y=15x+100?GB742Top AnswererAs this formula is in the form y=mx+c, m is the gradient of the line. In this example m=15, therefore, the slope of the line is 15.
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QuestionHow do I figure out the slope of a line?Community AnswerRise over run. Find the closest simple points. so let's take (4,8) and (7,4). The rise over run is (-4, 3) or (3,-4) but it does not matter which you choose to do. Then, (saying we are doing 3 and -4), we would divide 3/-4, which is -0.75.
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QuestionHow do I find the slope of a tangent line?Community AnswerMultiply the x by y value, then divide the number into its factors and subtract it by the numbers you multiplied.
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QuestionHow do you find a slope if the line is straight?MightBeCherryPieCommunity AnswerIf the line is straight, the slope is zero (0). This is because you aren't going up or away any. If the line is horizontal, then the slope would be 0/1 which would simplify to 0. If the line is vertical, then the slope is 1/0, which isn't a rational fraction, and the slope would be undefined.
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QuestionHow do you know which number goes at the bottom?MightBeCherryPieCommunity AnswerSlope is found by rise/run. That means that the change in Y is on top and the change X is on the bottom.
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QuestionWhat if its a plus sign? Am I going to minus the number? It is about y=mx+b.MightBeCherryPieCommunity AnswerIf the equation is y = mx + b, then the b is a positive number. If it is y = mx - b, then the b is a negative number.
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QuestionHow do I find the slope when I know 2 points on a line?Community AnswerWhen finding a slope on a number line, you always want to locate the two points and these are called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run. You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it.
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