Converting Standard 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 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 in terms of x.

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, indicating the value of y when x = 0.

Front

Convert the equation 5x + 2y = -3 to slope-intercept form.

Back

y = (-5/2)x - (3/2)

Front

Convert the equation -6x + 4y = -8 to slope-intercept form.

Back

y = (3/2)x - 2

Front

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

Back

y = 2x + 4

Front

Convert the equation -2x + 3y = 9 to slope-intercept form.

Back

y = (2/3)x + 3

Front

Convert the equation 3x - 6y = 15 to slope-intercept form.

Back

y = (1/2)x - 5/2

Front

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

Back

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