Create a linear function $\mathrm{f}(\mathrm{x})$, whose graph has the given slope, that meets the given condition.
-Slope of - 4, $f(3)=2$
A) $f(x)=-4 x-14$
B) $f(x)=-4 x+14$
C) $f(x)=-\frac{1}{4} x+14$
D) $f(x)=-4 x+\frac{1}{14}$

Question

Quizplus · Accepted Answer

Using the point-slope form of a linear equation, $y - y_1 = m(x - x_1)$, where $m$ is the slope and $(x_1, y_1)$ is a point on the line, we substitute $m = -4$, $x_1 = 3$, and $y_1 = 2$. This gives us $y - 2 = -4(x - 3)$, simplifying to $y = -4x + 12 + 2$, which is $y = -4x + 14$, matching option B.

Create a Linear Function f(x)\mathrm{f}(\mathrm{x})f(x) , Whose Graph Has the Given Slope, That Meets the Given

Create a Linear Function $\mathrm{f}(\mathrm{x})$ , Whose Graph Has the Given Slope, That Meets the Given