Q&A for How to Find the Slope of an Equation

Return to Full Article

Search
Add New Question
  • Question
    What is the slope for the equation y=1?
    Donagan
    Top Answerer
    The 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.
  • Question
    What if the equation is like x+y=0 or x-y=0?
    Community Answer
    That'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.
  • Question
    What's the difference between a slope = 0 and slope = undefined?
    Donagan
    Top Answerer
    A zero slope is a horizontal line (parallel to the x-axis), and an undefined slope is a vertical line (parallel to the y-axis).
  • Question
    Slope of a line 2x - y +9?
    Donagan
    Top Answerer
    If 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.
  • Question
    How do I find the slope given a single point on a straight line?
    Donagan
    Top Answerer
    If 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.
  • Question
    How do I find the slope in a word problem?
    Donagan
    Top Answerer
    You 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).
  • Question
    So is the slope of y=-2 .-2?
    Community Answer
    No. 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.
  • Question
    How do I find the equation of a vertical line containing the point (2,5)?
    Community Answer
    Its equation is x=2.
  • Question
    How would I find the slope of the line y = 4?
    Donagan
    Top Answerer
    Any 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).
  • Question
    How do I find the slope intercept equation using only one set of points?
    Donagan
    Top Answerer
    If 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.
  • Question
    What is the slope of x = -2?
    Community Answer
    The 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.
  • Question
    What is y if the slope between (4,y) and (10,0) is 4/3?
    Community Answer
    The 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.
  • Question
    What is y if the slope between (4,y) and (10,0) is 4/3?
    Community Answer
    The 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.
  • Question
    What would the slope-intercept form be for the equation -2x+5y=10 be?
    Community Answer
    Add 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.
  • Question
    What is the slope of the line y = (-3/2) x - 2?
    Community Answer
    The slope is -3/2.
  • Question
    What would the slope be if it was something like y = 4/5x?
    Community Answer
    Assuming 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.
  • Question
    Find the slope of the line f(x) = 2x^2 + 4x at point (2, 4)?
    GB742
    Top Answerer
    First 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.
  • Question
    What is the slope for y=15x+100?
    GB742
    Top Answerer
    As 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.
  • Question
    How do I figure out the slope of a line?
    Community Answer
    Rise 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.
  • Question
    How do I find the slope of a tangent line?
    Community Answer
    Multiply the x by y value, then divide the number into its factors and subtract it by the numbers you multiplied.
  • Question
    How do you find a slope if the line is straight?
    MightBeCherryPie
    Community Answer
    If 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.
  • Question
    How do you know which number goes at the bottom?
    MightBeCherryPie
    Community Answer
    Slope is found by rise/run. That means that the change in Y is on top and the change X is on the bottom.
  • Question
    What if its a plus sign? Am I going to minus the number? It is about y=mx+b.
    MightBeCherryPie
    Community Answer
    If 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.
  • Question
    How do I find the slope when I know 2 points on a line?
    Community Answer
    When 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.
Ask a Question

      Return to Full Article