Find the equation of the line through the given pair of points. Solve it for y if possible.
-(-7, -6), (-4, 9)
A) y = 15x + 99
B) x = -7
C) y = 5x + 29
D) y = 3x + 15

Question

Quizplus · Accepted Answer

To find the equation of the line through the points (-7, -6) and (-4, 9), we first calculate the slope (m) using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$. Substituting the given points, we get $m = \frac{9 - (-6)}{-4 - (-7)} = \frac{15}{3} = 5$. Then, using the point-slope form of a line equation $y - y_1 = m(x - x_1)$ with one of the given points, say (-7, -6), we get $y - (-6) = 5(x - (-7))$, which simplifies to $y = 5x + 29$.

Find the Equation of the Line Through the Given Pair