5.10 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

How do you convert the standard form equation 5x + y = -5 into slope-intercept form?

Back

To convert, isolate y: y = -5x - 5.

Front

What does the slope (m) represent in the slope-intercept form?

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 slope-intercept form?

Back

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

Front

Convert the standard form equation 4x - 3y = 15 into slope-intercept form.

Back

y = \frac{4}{3}x - 5.

Front

Convert the standard form equation 3x + y = 12 into slope-intercept form.

Back

y = -3x + 12.

Front

Convert the standard form equation x - 5y = 10 into slope-intercept form.

Back

y = \frac{1}{5}x - 2.

Front

Convert the standard form equation x + y = -1 into slope-intercept form.

Back

y = -x - 1.

Front

What is the first step in converting a standard form equation to slope-intercept form?

Back

The first step is to isolate y on one side of the equation.

Front

If a line has a slope of 2, what does this mean?

Back

It means that for every 1 unit increase in x, y increases by 2 units.