Rearranging to Solve for "y"

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you rearrange the equation 4x - 3y = 12 to solve for y?

Back

To solve for y, isolate y on one side: 3y = 4x - 12, then y = (4/3)x - 4.

Tags

CCSS.HSA.CED.A.4

Front

What does the slope of a line represent in a linear equation?

Back

The slope 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 is the y-intercept in the equation y = -3x + 12?

Back

The y-intercept is the value of y when x = 0, which is 12 in this case.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How can you convert the equation 3x + y = 12 into slope-intercept form?

Back

Rearrange to y = -3x + 12.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the first step to solve for y in the equation y + 2 = 3x?

Back

Subtract 2 from both sides to isolate y: y = 3x - 2.

Tags

CCSS.6.EE.C.9

Front

How do you find the y-intercept from the equation 8x + 4y = 16?

Back

Rearrange to slope-intercept form: 4y = -8x + 16, then y = -2x + 4. The y-intercept is 4.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the process to write -10x + 2y = 14 in slope-intercept form?

Back

Rearrange to 2y = 10x + 14, then divide by 2: y = 5x + 7.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does it mean for an equation to be in slope-intercept form?

Back

It means the equation is expressed as y = mx + b, making it easy to identify the slope and y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the significance of the coefficients in the slope-intercept form?

Back

The coefficient m represents the slope, and the constant b represents the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3