Forms of Linear Equations

Front

What is the point-slope form of a linear equation?

Back

y - y₁ = m(x - x₁)

Front

What ordered pair represents a y-intercept on a graph?

Back

(0, b) where b is the y-coordinate.

Front

How do you find the x-intercept of a linear equation?

Back

Set y = 0 and solve for x.

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 and solve for y.

Front

What are the x- and y-intercepts for the equation 2x + y = 6?

Back

(3, 0) and (0, 6)

Front

What is the x-intercept for the equation 4x - 5y = 40?

Back

x-intercept is 10.

Front

What is the y-intercept for the equation 4x - 5y = 40?

Back

y-intercept is -8.

Front

Write the equation in point-slope form for the line that passes through (4, -7) with slope -1/4.

Back

y + 7 = -1/4(x - 4)

Front

What does the slope (m) represent in a linear equation?

Back

The rate of change of y with respect to x.

Front

What is the standard form of a linear equation?

Back

Ax + By = C where A, B, and C are constants.