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 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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

y = -x + 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Convert the equation 10x - 5y = 30 to slope-intercept form.

Back

y = 2x - 6.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Convert the equation 8x + 4y = 16 to slope-intercept form.

Back

y = -2x + 4.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Convert the equation -6x + 3y = 9 to slope-intercept form.

Back

y = 2x + 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

y = -5x - 10.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the first step in solving for y in the equation 3x + 4y = 12?

Back

Subtract 3x from both sides to isolate the term with y.

Tags

CCSS.HSA.REI.B.3