A16 (GEN) - Graphing Slope-Intercept Form

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. It indicates how steep the line is.

Front

How do you identify the slope from the equation y = -3x + 4?

Back

The slope is -3, which means the line decreases as x increases.

Front

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

Back

The y-intercept is -5, which is the point where the line crosses the y-axis.

Front

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

Back

The equation is already in slope-intercept form, where the slope is 3 and the y-intercept is 2.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant.

Front

How do you write the equation for a line with a slope of 4 that passes through the point (0, 3)?

Back

The equation is y = 4x + 3.

Front

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

Back

The slope is -2.

Front

If a line has an undefined slope, what does that mean?

Back

An undefined slope means the line is vertical and does not change in the x-direction.