Find the slope-intercept form of the equation of a line that passes through the given points.
-$(0,0),(1,-7)$
A) $y=7 x$
B) $y=\frac{1}{7} x$
C) $y=-\frac{1}{7} x$
D) $y=-7 x$

Question

Quizplus · Accepted Answer

The slope $m$ of the line passing through points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $m = \frac{y_2 - y_1}{x_2 - x_1}$. For points $(0,0)$ and $(1,-7)$, $m = \frac{-7 - 0}{1 - 0} = -7$. The line passes through the origin $(0,0)$, so its equation in slope-intercept form is $y = mx + b$, where $b$ is the y-intercept. Since the line passes through the origin, $b = 0$, giving the equation $y = -7x$.

Find the Slope-Intercept Form of the Equation of a Line (0,0),(1,−7)(0,0),(1,-7)(0,0),(1,−7)

Find the Slope-Intercept Form of the Equation of a Line $(0,0),(1,-7)$