Standard Form

Front

What is the slope of the line represented by the equation 5x + 10y = 30?

Back

m = -1/2

Front

Write the slope-intercept form of the equation x - 3y = 6.

Back

y = 1/3x - 2

Front

What is the slope and y-intercept of the linear function given by the equation 4x - 3y = 6?

Back

m = 4/3, b = -2

Front

What is the x-intercept of the equation x + 4y = 7?

Back

(7, 0)

Front

Write the following equation in slope-intercept form: 4x - 3y = 12.

Back

y = 4/3x - 4

Front

Define slope in the context of a linear equation.

Back

Slope (m) is the ratio of the rise (change in y) to the run (change in x) between two points on a line.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

How do you find the y-intercept from a linear equation in standard form?

Back

Set x = 0 and solve for y.

Front

How do you find the x-intercept from a linear equation in standard form?

Back

Set y = 0 and solve for x.

Front

What does the slope-intercept form of a linear equation look like?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.