Standard Form to Slope-Intercept Form

Front

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

Back

The slope-intercept form is 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 5x - 3y = -9 to slope-intercept form.

Back

y = (5/3)x + 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Find the slope of the equation 3x - 6y = 12 after isolating y.

Back

The slope is 1/2.

Tags

CCSS.8.EE.B.5

Front

Convert the equation -3y + 5x = 12 to slope-intercept form.

Back

y = -4 + (5/3)x.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the first step in isolating y in the equation 3x - 6y = 12?

Back

Subtract 3x from both sides to get -6y = -3x + 12.

Tags

CCSS.HSA.CED.A.4

Front

What is the significance of the coefficients in the standard form of a linear equation?

Back

The coefficients A, B, and C in Ax + By = C represent the relationship between x and y in the linear equation.

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