Question

Write an equation of the line that passes through (−2,3) and (0,8).

Answer 1

Answer:

$y = \frac{5}{2}x + 8$

Step-by-step explanation:

(-2 , 3 ) ; (0 , 8)

Slope = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

          $= \frac{8-3}{0-[-2]}\\\\=\frac{5}{0+2}\\\\=\frac{5}{2}$

   m = 5/2 ; (0 , 8)

Equation: y -y1 = m(x -x1)

               $y - 8 =\frac{5}{2}(x - 0)\\\\y - 8 =\frac{5}{2}x\\y = \frac{5}{2}x + 8$