Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form.
-$( 3,3 ) ; m = - 3$
A) $y = - 3 x + 12$
B) $y = - \frac { 1 } { 3 } x + 12$
C) $y = - 3 x + \frac { 1 } { 12 }$
D) $y = - 3 x - 12$

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 $(3,3)$, we can substitute these values into the slope-intercept form to find $b$: $3 = (-3)(3) + b$, which simplifies to $3 = -9 + b$, leading to $b = 12$. Thus, the equation is $y = -3x + 12$.

Write an Equation of the Line Through the Given Point (3,3);m=−3( 3,3 ) ; m = - 3(3,3);m=−3

Write an Equation of the Line Through the Given Point $( 3,3 ) ; m = - 3$