Question

Alyssa compared the y-intercept of the graph of the function f(x) = -2x -5 to the y-intercept of the graph of a linear function that includes the points below.

Answer 1

The answer is -11 or +11

Explanation:

The y-intercept of f(x) is the value of f(x) when x=0,

f(x) = -5 when x=0

The equation of g(x) is,

$\begin{gathered} \text{Slope of g(x)=}\frac{y_2-y_1}{x_2-x_1}=\frac{3-2}{-6--8}=\frac{1}{2} \\ Theequationofg(x)is;y-y_1_{}=2(x-x_1) \\ y-2=\frac{1}{2}(x--8) \\ y-2=\frac{(x+8)}{2} \\ \text{The y- intercept of g(x) is the value of g(x) when x=0,} \\ y-\text{intercept of g(x)=6} \\ \end{gathered}$

So, The difference between y-intercept of f(x) and that of g(x) = -5-6=-11 or 6 - -5= 11