Question

Write the slope-intercept form of the line that passes through (-10,17) and (5,-4)

Answer 1

Answer:

y = 7/5 x + 31

Step-by-step explanation:

To find the slope, we need to use the formula

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

m =(-4-17)/(5- -10)

   = -21/(5+10)

  = 21/15

Divide the top and bottom by 3.

  = 7/5

The slope is 7/5.

Using the point slope form of the equation,

y-y1 = m(x-x1)

y-17 = 7/5 (x--10)

y-17 = 7/5(x+10)

Distribute the 7/5 ths.

y-17 = 7/5 x + 7/5*10

y-17 = 7/5 x +14

Add 17 to each side

y = 7/5 x + 14 + 17

y = 7/5 x + 31

This is in slope intercept form, with the slope  being 7/5 and the y intercept of 31