Answer:
-4
Step-by-step explanation:
The slope of a function f(x) passing through two points of coordinates [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, in order to find the slope of the function h(x) of this problem, we have to find the coordinates of 2 points.
We know that h(x) has an x-intercept of 2: the x-intercept is the point where the function crosses the x-axis, so the coordinates of this point are
[tex](2,0)[/tex]
Because at x = 2, the value of y is zero.
We also know that h(x) has an y-intercept of 8: the y-intercept is the point where the function crosses the y-axis, so the coordinates of this point are
[tex](0,8)[/tex]
Because at x = 0, the value of y is 8.
Therefore, we can now use these 2 points to calculate the slope of the function:
[tex]m=\frac{8-0}{0-2}=-4[/tex]
