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 represent in a linear equation?

Back

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

Front

What does the y-intercept represent in a linear equation?

Back

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

Front

Determine the slope and y-intercept of the equation y = 4x + 1.

Back

Slope: 4, Y-intercept: (0, 1).

Front

Determine the slope and y-intercept of the equation y = -2x + 5.

Back

Slope: -2, Y-intercept: (0, 5).

Front

What is the slope in the equation y = 3x - 7?

Back

The slope is 3.

Front

Write the equation of the line with a slope of 1/2 and a y-intercept of -3.

Back

y = 1/2x - 3.

Front

Write the equation of the line with a slope of -1 and a y-intercept of 2.

Back

y = -1x + 2 or y = -x + 2.

Front

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

Back

A slope of 0 indicates a horizontal line.

Front

If the slope of a line is undefined, what does that indicate about the line?

Back

An undefined slope indicates a vertical line.