Give the coordinates of a point on the line whose equation in point-slope form is y − (−3) = 1 4 (x − 9).

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bekkarmahdi702 bekkarmahdi702 · Answer 1 · 2020-08-15T01:33:23+02:00

Answer:

Below

Step-by-step explanation:

● y -(-3) = (1/4) (x-9)

Replace 1/4 by 0.25 to make it easier

● y + 3 = 0.25(x-9)

● y + 3 = 0.25x - 2.25

Add 3 to both sides

● y +3-3 = 0.25x -2.25-3

● y = 0.25x -5.25

To the coordinates of a point from this line replace x by a value.

The easiest one is 0.

● y = 0.25×0 -5.25

● y = 5.25

5.25 is 21/4

So the coordinates are (0, 21/4)

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abidemiokin abidemiokin · Answer 2 · 2021-08-13T23:04:03+02:00

The coordinate of a point on the line whose equation in point-slope form is y − (−3) = 1/4 (x − 9) is (9, -3)

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

[tex](y-y_0)=m(x-x_0)[/tex] where:

m is the slope

[tex](x_0, y_0)[/tex] is the point on the line.

Given the equation in the point-slope form expressed as

[tex]y - (-3) = 1/4 (x - 9)[/tex]

Comparing the general equation with the given equation:

[tex]y_0 = -3\\x_0 = 9[/tex]

Hence the coordinate of a point on the line whose equation in point-slope form is y − (−3) = 1/4 (x − 9) is (9, -3)

Learn more on point-slope here: https://brainly.com/question/19684172