Graphing 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 identify the slope from the equation y = ⅖x + 2?

Back

The slope (m) is ⅖.

Front

What does the y-intercept represent in the equation y = -x + 3?

Back

The y-intercept is the point where the line crosses the y-axis, which is (0, 3) in this case.

Front

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

Back

The slope-intercept form is y = -½x + 2.

Front

What is the slope of the line represented by the equation y = -2x + 4?

Back

The slope (m) is -2.

Front

How do you graph the equation y = 4x?

Back

Start at the origin (0,0) and use the slope of 4 to rise 4 units up and run 1 unit to the right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line descends from left to right.

Front

What is the significance of the point (0, b) in the slope-intercept form?

Back

It represents the y-intercept of the line.

Front

How can you determine if a graph represents the equation y = -x + 3?

Back

Check if the line crosses the y-axis at (0, 3) and has a slope of -1.

Front

What is the general shape of the graph for a positive slope?

Back

A line that rises from left to right.