Find the slope-intercept form of the equation of a line with the given slope that passes through the given point.
-Slope $- 3$, through $( 3,2 )$
A) $y = - 3 x + \frac { 1 } { 11 }$
B) $y = - 3 x + 11$
C) $y = - \frac { 1 } { 3 } x + 11$
D) $y = - 3 x - 11$

Question

Quizplus · Accepted Answer

The slope-intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. Given the slope $m = -3$ and a point $(3,2)$, we can substitute these values into the equation to solve for $b$: $2 = (-3)(3) + b$, which simplifies to $2 = -9 + b$, leading to $b = 11$. Therefore, the equation is $y = -3x + 11$.

Find the Slope-Intercept Form of the Equation of a Line −3- 3−3

Find the Slope-Intercept Form of the Equation of a Line $- 3$