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

Question

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

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Delilah 4 weeks 2021-11-13T19:43:15+00:00 1 Answer 0 views 0

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    2021-11-13T19:44:17+00:00

    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

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