Point Slope Calculator

Point slope calculator is used to find the line equation when a point and slope is known. By using this calculator we can easily find the line equation passes through the point with a slope. First we have to remember the line equation is y=mx+b. If a point (x1, y1) and slope (m) is given the line equation will be (y-y1) = m(x-x1).

Example 1: Find the line equation passes through a point (5, 7) with a slope of 4.

Solution steps:

Given that (x1, y1) = (5, 7)

Slope m = 4

Substitute the given point (x1, y1) and slope in the point slope equation formula.

(y-y1) = m(x-x1).

(y-7) = 4(x-5)

y-7 = 4(x) -4(5)

y-7=4x-20

Add 7 on both sides

y-7+7=4x-20+7

y=4x-13

Answer is y=4x-13.

Example 1: Find the line equation passes through a point (0, -2) with a slope of 3.

Solution steps:

Given that x1=0 and y1=-2

Slope m= 3

Substitute the given point (x1, y1) and slope in the point slope equation formula.

(y-y1) = m(x-x1).

y-(-2) =3(x-0)

y+2 =3(x)

Subtract 2 on both sides

y+2-2=3x-2

y=3x-2

Answer is y=3x-2.

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