\( (5,1) \) and \( (-10,-11) \) ?
(A) \( m=-3, b=\frac{4}{5} \)
(B) \( m=\frac{4}{5}, b=-3 \)
(2) \( m=3, b=-\frac{4}{5} \)
(D) \( m=-\frac{4}{5}, b=3 \)
114 masteryeducation.com Algebra I / End-of-Course
Copying is prohibited.

Answer

Expert–verified

Hide Steps

Answer

Plug in slope and point \( (5,1) \): \( y - 1 = \frac{4}{5}(x - 5) \), simplify to: y = \( \frac{4}{5}x - 3 \)

Steps

Step 1 ：Find slope: m = \( \frac{y_2 - y_1}{x_2 - x_1}\ = \frac{-11 - 1}{-10 - 5} \ = \frac{-12}{-15} \ = \frac{4}{5} \).

Step 2 ：Use point-slope form to find equation: \( y - y_1 = m(x - x_1) \)

Step 3 ：Plug in slope and point \( (5,1) \): \( y - 1 = \frac{4}{5}(x - 5) \), simplify to: y = \( \frac{4}{5}x - 3 \)