Question

given the following equations, at which point will the graphs intersect?
$f(x) = 5x + 1$
$g(x) = -2x + 15$
$(-2, -9)$
$(0, 0)$
$(1, 15)$
$(2, 11)$

Explanation:

Step1: Set functions equal

$5x + 1 = -2x + 15$

Step2: Isolate x terms

$5x + 2x = 15 - 1$

Step3: Simplify to solve for x

$7x = 14$
$x = \frac{14}{7} = 2$

Step4: Find y with x=2

$f(2) = 5(2) + 1 = 11$

Answer:

(2, 11)