a line passes through the points (-12, 11) and (14, -15). write its equation in slope - intercept form…

a line passes through the points (-12, 11) and (14, -15). write its equation in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

a line passes through the points (-12, 11) and (14, -15). write its equation in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer

Explanation:

Step1: Calculate the slope

The slope $m$ formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(-12,11)$ and $(x_2,y_2)=(14,-15)$. Then $m=\frac{-15 - 11}{14-(-12)}=\frac{-26}{26}=- 1$.

Step2: Find the y - intercept

Use the point - slope form $y - y_1=m(x - x_1)$ with the point $(-12,11)$ and $m=-1$. So $y - 11=-1(x+12)$. Expand it: $y-11=-x - 12$. Add 11 to both sides to get the slope - intercept form $y=-x - 1$.

Answer:

$y=-x - 1$