Graphing Linear Equations

Front

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

Back

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

Front

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

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope is 2.

Front

Convert the equation 4x - 2y = 8 to slope-intercept form.

Back

y = 2x - 4.

Front

What is the y-intercept of the line 3x + 2y = 6?

Back

The y-intercept is 3.

Front

Graph the equation y = -1/2x + 4.

Back

The graph is a straight line with a slope of -1/2 and a y-intercept of 4.

Front

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

Back

The slope is -3.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

What is the x-intercept of the line represented by the equation 2x + 3y = 6?

Back

The x-intercept is 3.