Question

what is the equation of the line in the slope that intercepts form that given f(-3)=5and f(3) = 3,

Answer 1

Given data:

The first coordinate is (-3, 5).

The second coordinate is (3, 3).

The equation of the line passing through the given points is,

$\begin{gathered} y-5=\frac{3-5}{3-(-3)}(x-(-3)) \\ y-5=\frac{-2}{6}(x+3) \\ y-5=-\frac{1}{3}(x+3) \\ y=-\frac{1}{3}x+4 \end{gathered}$

Thus, the equation of the line in slope-intercept form is y= -1/3 x+4.