Equations of Lines

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Enter expression, e.g. (x^2-y^2)/(x-y)

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Enter equation to solve, e.g. 2x+3=4

Enter equation to graph, e.g. y=3x^2-1

Depdendent Variable

Number of equations to solve:

Equ. #1:

Equ. #2:

Equ. #3:

Equ. #4:

Equ. #5:

Equ. #6:

Equ. #7:

Equ. #8:

Equ. #9:

Solve for:

Enter inequality to solve, e.g. 2x+3>4

Enter inequality to graph, e.g. y<3x^2-1

Dependent Variable

Number of inequalities to solve:

Ineq. #1:

Ineq. #2:

Ineq. #3:

Ineq. #4:

Ineq. #5:

Ineq. #6:

Ineq. #7:

Ineq. #8:

Ineq. #9:

Solve for:

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The Point-Slope Form:

The point-slope form of the equation for a line with slope m which passes through the point (x₁ ; y₁) is

y - y₁ = m (x - x₁)

1. Find the slope and a point on the line whose equation is .

2. Find an equation of the line which passes through the points (2, -5) and (-1, 3).

Parallel Lines:

Nonvertical parallel lines have the same slope.

Examples:

1. Find an equation for the line parallel to 2x - 3y = 5 which passes through the point (2, 1).

2. Are the lines 5x - 2y = 4 and 15x = 6y + 3 parallel or not?