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

How do you convert from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Front

What does the slope (m) represent in a linear equation?

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 a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

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

Back

y = -3x + 12.

Front

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

Back

y = -5x - 5.

Front

Convert the equation 5x - 3y = -9 into slope-intercept form.

Back

y = (5/3)x + 3.

Front

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

Back

y = (4/3)x - 5.

Front

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

Back

y = (1/5)x - 2.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.