Question

Write the point-slope form of the equation of the line that passes through the points (5, -9) and (-6, 1). Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution

Answer 1

y+9 = (-10/11)(x-5)

Explanation:

In order to use the point-slope form of the equation of a line, you need to know the slope. That can be calculated from the given points as ...

... slope = (change in y)/(change in x)

... = (1 -(-9))/(-6-5) = 10/-11

... slope = -10/11

Using this value and the first point in the form

... y - k = m(x - h) . . . . . . for slope m and point (h, k)

we get

... y -(-9) = (-10/11)(x -5)

... y + 9 = (-10/11)(x - 5)