Graphing Lines 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 a linear equation?

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 find the y-intercept (b) in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0.

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 from left to right.

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 from left to right.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where x does not change regardless of y.

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line, where y remains constant regardless of x.

Front

How do you graph a line using the slope-intercept form?

Back

Start by plotting the y-intercept (b) on the y-axis, then use the slope (m) to find another point by rising and running.

Front

What is the slope of the line represented by the equation y = 4x + 3?

Back

The slope is 4.

Front

If a line has a slope of -3, what does this mean?

Back

It means that for every 1 unit increase in x, y decreases by 3 units.