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.