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The table shows a proportional relationship between x and y.

x 12 16 28
y 3 4 7

Describe the graph of the proportional relationship, in words.
A line beginning at point (0, 0) and continuing through the point (4, 12).
A line beginning at point (0, 0) and continuing through the point (28, 7).
A line beginning at point (12, 4) and continuing through the point (7, 28).
A line beginning at point (12, 4) and continuing through the point (4, 16).

Respuesta :

A line beginning at point (0, 0) and continuing through the point (28, 7) describes the graph of the proportional relationship. 2nd option is the answer

How to describe the graph of the proportional relationship in words?

Given: the proportional relationship

x 12 16 28

y  3  4   7

In order to know the beginning of the line, we need to find the y-intercept.

The equation of a line is of the form

y = mx + c

where m is the slope and c is the y-intercept.

m = y2-y1 /x2-x1

m = 4-3 / 16-12 = 1/4

y = mx + c

3 = 1/4(12) + c

3 = 3 + c

c = 0

Thus, the beginning of the line is (0, 0).

The coordinate of a line or graph is written in the form (x, y). Therefore, the line begins at point (0, 0) and continues through point (28, 7).

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