Question

Write an equation of the line that passes through (2, 7) and (0, −5)


y=

Answer 1

First, solve for slope.
Formula for slope:
`(y2-y1)/(x2-x1)`
Plug in values:
`(-5-7)/(0-2) = (-12)/(-2) = 6`
Slope:
`6`
Second, we must plug into point-slope form.
Formula for point-slope:
`y - y1 = m(x-x1)`
Plug in the values:
`y - 7 = 6(x-2)`
Solve.

`y - 7 = 6(x-2) y - 7 = 6x - 12 Add 7 both sides. y = 6x - 5`
So the equation is:
`y = 6x - 5`

Answer 2

((-5) - 7) / (0-2) = slope because equation for slope is y2 - y1 / x2 - x1. Then the y-intercept is already given. So slope is -12/-2 = 6 so, y= mx + b, meaning mx is slope of -6x and b being -5. Therefore the equation is y = -6x - 5. Hope this helps!