Question

Write the equation of the line that passes through the points (7,-9) and (2,−7). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answer 1

Answer: $-5y - 2x$ = $31$

Step-by-step explanation:

The formula for calculating  equation of line when two points are given is :

$\frac{y-y_{1}}{x-x_{1}}$= $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$x_{1}=7$

$x_{2}$ = 2

$y_{1}$ = -9

$y_{2}$ = -7

Substituting the values into the equation , we have

$\frac{y-(-9)}{x-7}$ = $\frac{-7-(-9)}{(2-7)}$

$\frac{y+9}{x-7}$  = $\frac{2}{-5}$

cross multiplying , we have

$-5(y+9)$ = $2(x-7)$

$-5y-45$  = $2x - 14$

$-5y - 2x$ = $-14 + 45$

$-5y - 2x$ = $31$