Forms of Linear Equations

Front

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

Back

(3, 0) and (0, 6)

Front

Write the equation for the line in slope-intercept form: y = mx + b.

Back

y = 4x + 3

Front

Convert the equation 4x - 3y = 12 into slope-intercept form.

Back

y = 4/3x - 4

Front

What is the slope of the line represented by the equation y + 1 = -3(x - 5)?

Back

-3

Front

Identify the slope in the equation: y = 4x + 3.

Back

4

Front

What is the definition of a linear equation?

Back

An equation that makes a straight line when graphed.

Front

What does slope represent in a linear equation?

Back

The rate of change of y with respect to x.

Front

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

Back

Set x = 0 and solve for y.

Front

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

Back

Set y = 0 and solve for x.

Front

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

Back

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