Standard Form

Front

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

Back

The slope-intercept form is given by the equation 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 find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the graph of the equation crosses the x-axis, which occurs when y = 0.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the graph of the equation crosses the y-axis, which occurs when x = 0.

Front

Convert the equation x - 3y = 6 to slope-intercept form.

Back

The slope-intercept form is y = (1/3)x - 2.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What are the x- and y-intercepts of the equation 5x - 3y = 15?

Back

The x-intercept is (3, 0) and the y-intercept is (0, -5).

Front

How do you find the x-intercept of the equation 3x + 4y = 24?

Back

Set y = 0 and solve for x: 3x = 24, so x = 8.

Front

What is the x-intercept of the equation 4x - 10y = 20?

Back

The x-intercept is 5.

Front

What is the x-intercept of the equation 3x + 8y = 24?

Back

The x-intercept is (8, 0).

Front

What does it mean for a line to have a positive slope?

Back

A positive slope means that as x increases, y also increases, indicating an upward trend.

Tags

CCSS.8.EE.B.5