Try the Free Math Solver or Scroll down to Tutorials!

 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
 Equ. #2:

 Equ. #3:

 Equ. #4:

 Equ. #5:

 Equ. #6:

 Equ. #7:

 Equ. #8:

 Equ. #9:

 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

 Please use this form if you would like to have this math solver on your website, free of charge. Name: Email: Your Website: Msg:

# Point-slope Form for the Equation of a Line

Example 1

Find the equation of the line that passes through the point (-4, 7) with slope .

Solution

 Use the point-slope formula. y - y1 = m(x - x1) We are given the point (-4, 7), so let x1 = -4 and y1 = 7. y - 7 = m(x - (-4)) The slope is . y - 7 Simplify the right side. y - 7 So, the equation of the line is Example 2

Find the equation of the line that passes through the points (3, -3) and (6, -1).

Solution

 First, find the slope of the line. Let (x1, y1) = (3, -3) and (x2, y2) = (6, -1).  Next, use the point-slope formula. y - y1 = m(x - x1) We can use either given point. Letâ€™s use (6, -1). y - (-1) Simplify the left side. y + 1 So, the equation of the line is Note:

If we had used the other point, (3, -3), we would have obtained:

 y - y1 = m(x - x1) y - (-3) y + 3 This equation is equivalent to since both simplify to .