Question

The function h(x) has an x-intercept of 2 and a y-intercept of 8. what is the slope of h(x)

Answer 1

Answer:

-4

Step-by-step explanation:

The slope of a function f(x) passing through two points of coordinates $(x_1,y_1)$ and $(x_2,y_2)$ is given by

$m=\frac{y_2-y_1}{x_2-x_1}$

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

$(2,0)$

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

$(0,8)$

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:

$m=\frac{8-0}{0-2}=-4$