Question

A line with slope 3/2 passes through the point (1,3).

Answer 1

The coordinate (13, 22) is not on the line since the y-coordinate is 21

Equation of a line

The equation of a line in point slope form is expressed as:

y - ya =m(x-xb)

where

m is the slope = 3/2

(xa, ya) is the point. = (1, 3)

Substitute

y - 3 = 3/2(x - 1)

For the coordinate (3, 6). Substitute x = 3and check if the output will be 6

y = 1.5(3 - 1) + 3

y = 1.5(2) + 3

y = 6

Hence the coordinate (3, 6) is on the line since the y-coordinate is 6

For the coordinate (0, 0). Substitute x = 0 and check if the output will be 0

y = 1.5(0 - 1) + 3

y = 1.5(-1) + 3

y = 1.5

Hence the coordinate (0, 0) is not on the line since the y-coordinate is 1.5

For the coordinate (13, 22). Substitute x = 13 and check if the output will be 22

y = 1.5(13 - 1) + 3

y = 1.5(12) + 3

y = 18 + 3 =21

Hence the coordinate (13, 22) is not on the line since the y-coordinate is 21

Learn more on equation of a line here: brainly.com/question/13763238

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