Question

write the equation of the line that passes through (7,6) and (-1,2) in slope intercept form. please please help!​

Answer 1

Answer: y = $\frac{x}{2}$ + 2.5

Step-by-step explanation:

The formula for finding the equation is given as :

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

From the points given:

$x_{1}$ = 7

$x_{2}$ =-1

$y_{1}$ = 6

$y_{2}$ = 2

Substituting into the formula , we have:

$\frac{y-6}{x-7}$ = $\frac{2-6}{-1-7}$

$\frac{y-6}{x-7}$ = $\frac{-4}{-8}$

$\frac{y-6}{x-7}$ = $\frac{1}{2}$

2(y-6) = x -7

2y - 12 = x -7

2y = x - 7 + 12

2y = x + 5

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

y = $\frac{x}{2}$ + 2.5