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 isolate y in the equation -2x + y = 1?

Back

Add 2x to both sides to get y = 2x + 1.

Tags

CCSS.6.EE.C.9

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 \frac{1}{4}y + 3 = -5x to slope-intercept form.

Back

y = -20x - 12.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you convert the equation 3y - 2x = 9 to slope-intercept form?

Back

Add 2x to both sides and then divide by 3 to get y = \frac{2}{3}x + 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the first step to convert 2y = -x - 8 to slope-intercept form?

Back

Divide both sides by 2 to isolate y, resulting in y = -\frac{1}{2}x - 4.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Rewrite the equation y - 4 = -3(x - 3) in slope-intercept form.

Back

Distribute -3 and add 4 to get y = 3x + 13.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the significance of rewriting equations in slope-intercept form?

Back

Rewriting in slope-intercept form makes it easier to identify the slope and y-intercept, facilitating graphing and understanding the line's behavior.

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

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Tags

CCSS.8.EE.B.5