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 an equation 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 by isolating it on one side of the equation.

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 expressing a linear equation 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 of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.

Tags

CCSS.8.EE.B.5

Front

How can you find the slope from a standard form equation?

Back

To find the slope from a standard form equation (Ax + By = C), rearrange it to slope-intercept form (y = mx + b) and identify the coefficient of x.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

How do you calculate the y-intercept from a standard form equation?

Back

To calculate the y-intercept from a standard form equation (Ax + By = C), set x = 0 and solve for y.

Tags

CCSS.HSF-IF.C.7A

Front

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

Back

In the standard form Ax + By = C, A represents the coefficient of x, and B represents the coefficient of y, which influence the slope and position of the line.

Front

What is the relationship between slope and parallel lines?

Back

Parallel lines have the same slope, meaning they rise and run at the same rate and will never intersect.

Tags

CCSS.8.EE.B.5

Front

What is the relationship between slope and perpendicular lines?

Back

Perpendicular lines have slopes that are negative reciprocals of each other, meaning if one slope is m, the other is -1/m.

Tags

CCSS.8.EE.B.6