Standard Form to Slope Intercept Form

Front

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

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Convert the equation y - 4 = -3(x - 3) to slope-intercept form.

Back

y = -3x + 13.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

y = 2x + 1.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Back

y = -20x - 12.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

y = \frac{2}{3}x + 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

y = -\frac{2}{3}x + \frac{5}{3}.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3