In a certain urban are, the relationship between , number of students ,x, in thousands, and the number schools, y, has an x-intercept of -4

Question

In a certain urban are, the relationship between , number of students ,x, in thousands, and the number schools, y, has an x-intercept of -4 and a y-intercept of 3. Write an equation for this relationship in standard form.

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RI SƠ 4 years 2021-07-20T03:37:12+00:00 1 Answers 8 views 0

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  1. Giakhanh
    0
    2021-07-20T03:39:06+00:00
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    Answer:

    -12 = 3x – 4y

    Step-by-step explanation:

    Two points on the graph are (-4, 0) and (0, 3).  Moving from the first point to the second, we see x (the ‘run’) increase by 4 and y (the ‘rise’) increase by 3.  Thus, the slope of this line is m = rise / run = 3/4.

    Using the point slope form, we get:

    y – 3 = (3/4)(x – 0), or

    4y – 12 = 3x, or

    -12 = 3x – 4y (which is in Standard Form).

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