Question

Write the equation of the line, in y = mx + b form, that passes through the points (-2, -15) and (5, 13). Show how you arrived at the values of m and b.

Answer 1

Answer:

y = 4x - 7

Step-by-step explanation:

Finding the slope:

$\frac{13+15}{5+2}=\frac{28}{7}=\boxed{4}$

The slope is 4.

Finding the y-intercept:

$y=4x+b\\\\13=4(5)+b\\\\13=20+b\\\\13-20=20-20+b\\\\\boxed{-7=b}$

The equation is $y=4x-7$.

Hope this helps.