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: $\frac{y2-y1}{x2-x1}$
Plug in values:$\frac{-5-7}{0-2} = \frac{-12}{-2} = 6$
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!