Use the slope-intercept form to write an equation of the line that passes through the given point and has
the given slope. Use function notation where y = f(x).
-$$( - 4 , - 5 ) ; m = 4$$
A) $f ( x ) = 4 x + 11$
B) $f ( x ) = 4 x - 5$
C) $f ( x ) = 4 x - 25$
D) $f ( x ) = 4 x - 4$

Question

Quizplus · Accepted Answer

The slope-intercept form is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. Given a point $(-4, -5)$ and slope $m = 4$, substitute $x = -4$, $y = -5$, and $m = 4$ into the equation to solve for $b$: $-5 = 4(-4) + b$, which simplifies to $-5 = -16 + b$, so $b = 11$. Therefore, the equation is $f(x) = 4x + 11$.

Use the Slope-Intercept Form to Write an Equation of the Line