Find the slope-intercept form of the equation of a line with the given slope that passes through the given point
-Slope 6, through $(-5,0)$
A) $y=6 x-31$
B) $y=-6 x+26$
C) $y=6 x-33$
D) $y=6 x+30$

Question

Quizplus · Accepted Answer

The slope-intercept form of a line is given by $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. Given the slope $m = 6$ and a point $(-5, 0)$, we can substitute these values into the equation to solve for $b$. Substituting $x = -5$ and $y = 0$, we get $0 = 6(-5) + b$, which simplifies to $0 = -30 + b$. Solving for $b$, we find $b = 30$. Therefore, the equation of the line is $y = 6x + 30$.

Find the Slope-Intercept Form of the Equation of a Line (−5,0)(-5,0)(−5,0)

Find the Slope-Intercept Form of the Equation of a Line $(-5,0)$