Point slope form calculator is used to find the point gradient form notation. Point Slope Form is used to
generate the Equation of a straight line passing through a given point with a slope. The result of the point
slope form is denoted by standard form an equation.
Formula for point slope from:
y-y1 =m(x-x1)
Here (x1,y1) is the point on the line
m=slope of the line
Example 1: Find the equation of the line that passes through (-2, 2) with slope of 5.
Solution steps:
Given that x1= -2 ,y1 =2 and Slope m= 5
y-y1 =m(x-x1)
y-2=5(x-(-2))
y-2 =5(x+2)
y-2 =5x+10
y-2+2=5x+10+2 (Add 2 on both sides )
y =5x+12
Equation of a straight line in standard form is 5x-y+12=0
Example 2: Find the Standard form an equation that passes through (-3, -1) with slope -2.
Solution steps:
Given that x1= -3, y1 =-1 and Slope m= -2
y-y1 =m(x-x1)
y-(-1) =-2(x-(-3))
y+1=-2(x+3)
y+1=-2x-6
y+1-1=-2x-6-1 (Add 1 on both sides)
y=-2x-7
Equation of a straight line in standard form is 2x+y+7=0.