Converting from Standard Form 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

How do you convert an equation 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 by isolating it on one side of the equation.

Front

Convert the equation 2x - 3y = 6 to slope-intercept form.

Back

y = (2/3)x - 2

Front

What is the slope of the line represented by the equation y = (2/3)x - 2?

Back

The slope of the line is 2/3.

Front

Convert the equation 4x + 5y = 20 to slope-intercept form.

Back

y = (-4/5)x + 4

Front

What is the y-intercept of the line represented by the equation y = (-4/5)x + 4?

Back

The y-intercept of the line is 4.

Front

Rewrite the equation 8x - 5y = 10 in slope-intercept form.

Back

y = (8/5)x - 2

Front

What does the slope represent in a linear equation?

Back

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

Front

Rewrite the equation 3x + 2y = 8 in slope-intercept form.

Back

y = (-3/2)x + 4

Front

Convert the equation -5x + 2y = -10 to slope-intercept form.

Back

y = (5/2)x - 5