Graphing in Slope-Intercept Form

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

What does the slope (m) represent in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented as (0, b).

Front

How do you find the y-intercept from the equation y = -3x - 3?

Back

The y-intercept is -3, which means the line crosses the y-axis at (0, -3).

Front

Write the equation of the line with a slope of 2 and a y-intercept of 4.

Back

y = 2x + 4.

Front

What is the slope of the line represented by the equation y = -1/2x + 3?

Back

The slope is -1/2.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates a vertical line.

Front

How do you graph the equation y = 3x - 1?

Back

Start at the y-intercept (0, -1) and use the slope (3) to rise 3 units and run 1 unit to the right.

Front

What is the y-intercept of the equation y = -2x + 5?

Back

The y-intercept is 5, meaning the line crosses the y-axis at (0, 5).