What is the equation of the line through the points (7, -3) and (5, 19)? Round numbers to two decimal places, if necessary.
A) y = -0.09x + 74
B) y = -0.09x + 0.01
C) y = -11x + 0.01
D) y = -11x + 74

Question

Quizplus · Accepted Answer

The slope (m) of the line is calculated using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$, which gives $m = \frac{19 - (-3)}{5 - 7} = \frac{22}{-2} = -11$. Using one of the points (7, -3) and the slope, the equation of the line can be written in point-slope form and then converted to slope-intercept form (y = mx + b), resulting in $y = -11x + 74$.

What Is the Equation of the Line Through the Points