Standard form to slope intercept form

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

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 is slope-intercept form?

Back

Slope-intercept form is a way of writing the equation of a line as 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

What does the slope 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 a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

Convert the equation x + 5y = -25 to slope-intercept form.

Back

y = -1/5x - 5.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Write the equation of the line with slope 2 and y-intercept 1 in standard form.

Back

2x - y = -1.

Front

What is the slope of the line represented by the equation 4x + y = -10?

Back

The slope is -4.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of the line represented by the equation 4x + y = -10?

Back

The y-intercept is (0, -10).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

f(x) = 9x - 9.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3