Write an equation for the linear function f satisfying the given conditions.
-$f ( - 3 ) = 8$ and $f ( 1 ) = 4$
A) $f ( x ) = - 3 x - 1$
B) $f ( x ) = - x + 5$
C) $f ( x ) = 3 x + 1$
D) $f ( x ) = - \frac { 8 } { 3 } x$

Question

Quizplus · Accepted Answer

The slope $m$ of the line can be calculated using the two given points $(-3, 8)$ and $(1, 4)$ as $m = \frac{4 - 8}{1 - (-3)} = \frac{-4}{4} = -1$. Using the point-slope form $y - y_1 = m(x - x_1)$ with one of the points, for example, $(1, 4)$, we get $y - 4 = -1(x - 1)$, which simplifies to $y = -x + 5$, matching option B.

Write an Equation for the Linear Function F Satisfying the Given