Question

Find an equation of the line that goes through the points (2,17) and (-7,-64). Write your answer in the form

y=mx+b.

Answer 1

Answer:y = 9x - 1

Explanation:

Calculate the slope (m) using the two points (x1, y1) = (2, 17) and (x2, y2) = (-7, -64):

m = (y2 - y1) / (x2 - x1)

m = (-64 - 17) / (-7 - 2)

m = (-81) / (-9)

m = 9

Now that we have the slope (m = 9), we can use one of the points (either (2, 17) or (-7, -64)) to find the y-intercept (b). Let's use (2, 17):

y = mx + b

17 = 9 * 2 + b

17 = 18 + b

b = -1

Now we have the slope (m = 9) and the y-intercept (b = -1), so we can write the equation of the line in the form y = mx + b:

y = 9x - 1