12.5.24 Graphing and Writing Slope Intercept form: Apex 4.2

Front

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

Back

The slope-intercept form is given by the equation 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, indicating how steep the line is.

Front

How do you find the y-intercept of a line from its equation?

Back

The y-intercept is the value of y when x = 0, which can be found directly from the equation in slope-intercept form.

Front

What is the y-intercept of the equation y = 3x + 5?

Back

The y-intercept is 5.

Front

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

Back

A slope of 0 indicates that the line is horizontal.

Front

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

Back

The slope is -2.

Front

How do you convert the equation 2x + 3y = 6 into slope-intercept form?

Back

To convert, solve for y: 3y = -2x + 6, then y = -2/3x + 2.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

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

Back

The equation is y = 1x - 2 or y = x - 2.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.