Question

What is an equation of the line that passes through the points (-6, 5) and (6, 7)?

Answer 1

Answer:

$y=\frac{1}{6}x+6$

Step-by-step explanation:

Let $(x_1,y_1)\rightarrow(-6,5)$ and $(x_2,y_2)\rightarrow(6,7)$

Determine slope

$m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{7-5}{6-(-6)}\\ \\m=\frac{2}{6+6}\\ \\m=\frac{2}{12}\\ \\m=\frac{1}{6}$

Use either ordered pair to find the y-intercept

$y=mx+b\\\\7=\frac{1}{6}(6)+b\\\\7=1+b\\\\6=b$

Final equation

$y=\frac{1}{6}x+6$