Question

Complete the equation of the line through (3,-1) and (4,7) (use exact numbers) Y=

Answer 1

The line passing through points $(x_1, y_1)$ and $(x_2, y_2)$ is given by

$\dfrac{x-x_1}{x_2-x_1}=\dfrac{y-y_1}{y_2-y_1}$

Plug your values to get

$\dfrac{x-3}{4-3}=\dfrac{y+1}{7+1} \iff \dfrac{x-3}{1}=\dfrac{y+1}{8}$

Multiply both sides by 8 to get

$8(x-3)=y+1 \iff y=8x-24-1=8x-25$