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 + 4y = 8 into slope-intercept form.

Back

y = -rac{1}{2}x + 2.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

y = rac{1}{4}x + rac{1}{4}.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the first step to solve for y in the equation 2x + 4y = 8?

Back

Subtract 2x from each side.

Tags

CCSS.HSA.REI.B.3

Front

What is the slope of the line represented by the equation y = 3x + 5?

Back

The slope is 3.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of the line represented by the equation y = -2x + 4?

Back

The y-intercept is 4.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

It indicates that the line slopes downward from left to right.

Tags

CCSS.8.EE.B.5