Graphing Linear Equations

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

What does the slope of a line represent?

Back

The slope represents 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 in the equation and solve for y.

Front

What is the y-intercept of the equation y = -3x?

Back

(0, 0)

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.

Front

What does a negative slope indicate about a line?

Back

It indicates that as x increases, y decreases.

Front

What is the point where a line crosses the y-axis called?

Back

The y-intercept.

Front

Given a slope of 2/3 and a y-intercept of (0, -3), what is the equation of the line?

Back

y = 2/3x - 3.

Front

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

Back

Set y = 0 in the equation and solve for x.

Front

What is the x-intercept of the equation y = -2x + 6?

Back

(3, 0).