Standard form review

Front

What is standard form in algebra?

Back

Standard form is a way of writing equations in the format Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, found by setting y = 0 in the equation and solving for x.

Front

What does the slope of a line represent?

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

How can you convert an equation from standard form to slope-intercept form?

Back

To convert, solve for y in terms of x, resulting in the form 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 is the significance of the coefficients A, B, and C in the standard form Ax + By = C?

Back

A determines the steepness and direction of the line, B affects the vertical position, and C represents the line's position relative to the origin.

Front

How do you graph a linear equation in standard form?

Back

Find the x- and y-intercepts, plot them on the graph, and draw a line through these points.

Tags

CCSS.HSF-IF.C.7A

Front

What is the y-intercept of the equation 4x + 2y = -12?

Back

The y-intercept is -6, found by setting x = 0 and solving for y.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What are the x- and y-intercepts of the equation 2x + 4y = 12?

Back

The x-intercept is (6, 0) and the y-intercept is (0, 3).

Front

How do you determine if a point lies on a line represented by an equation?

Back

Substitute the x and y values of the point into the equation. If the equation holds true, the point lies on the line.