5.0 Converting to Slope Intercept Form

Front

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

Back

The slope-intercept form of a linear equation is given by the formula y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

y = -3x + 12

Front

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

Back

y = -x + 4

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.

Front

Convert the equation 4x + 2y = 10 into slope-intercept form.

Back

y = -2x + 5

Front

What is the y-intercept in the equation y = 3x + 1?

Back

The y-intercept is 1, which is the point where the line crosses the y-axis.

Front

Convert the equation 2y - 4x = 8 into slope-intercept form.

Back

y = 2x + 4

Front

What is the slope of the line represented by the equation y = -4x + 12?

Back

The slope is -4.

Front

Convert the equation 5x - 3y = 15 into slope-intercept form.

Back

y = rac{5}{3}x - 5

Front

What is the slope of the line represented by the equation y = rac{1}{3}x + 2?

Back

The slope is rac{1}{3}.