a line passes through the points (-15, 7) and (6, 14). write its equation in slope - intercept form. write…

Answer:

$y=\frac{1}{3}x + 12$

Explanation:

Step1: Calculate the slope

$m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{14 - 7}{6-(-15)}=\frac{7}{21}=\frac{1}{3}$

Step2: Use point - slope form

Using the point $(-15,7)$ and $m = \frac{1}{3}$, the point - slope form is $y - y_1=m(x - x_1)$, so $y - 7=\frac{1}{3}(x + 15)$.

Step3: Convert to slope - intercept form

$y-7=\frac{1}{3}x+5$, then $y=\frac{1}{3}x + 12$.