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 in terms of x.

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 (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x; it indicates 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 3x + y = 12 to slope-intercept form.

Back

y = -3x + 12.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

y = (1/4)x + (1/4).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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

Convert the equation 5x - 4y = -20 to slope-intercept form.

Back

y = (5/4)x + 5.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

The coefficients A and B determine the slope and direction of the line, while C represents the line's position relative to the origin.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3