Converting to Slope Intercept Form

Front

What is slope-intercept form?

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 from point-slope form to slope-intercept form?

Back

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form, solve for y to get y = mx + (y1 - mx1).

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 y - 2 = -3(x + 4) to slope-intercept form.

Back

y = -3x - 10.

Front

Convert the equation y - 4 = 2(x + 1) to slope-intercept form.

Back

y = 2x + 6.

Front

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

Back

y = (3/2)x - 9/2.

Front

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

Back

y = (2/3)x - 2.

Front

Convert the equation 4x + 3y = -12 to slope-intercept form.

Back

y = (-4/3)x - 4.

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.