Slope Intercept Form

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What does the slope (m) represent in the slope-intercept form?

Back

The slope (m) 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 does the y-intercept (b) represent in the slope-intercept form?

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented as (0, b).

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

How do you find the y-intercept from an equation in slope-intercept form?

Back

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

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

Convert the equation y = 3x + 2 to slope-intercept form.

Back

The equation is already in slope-intercept form: y = 3x + 2.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the y-intercept of the equation y = -2x + 5?

Back

The y-intercept is 5, represented as the point (0, 5).

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

Write the equation in slope-intercept form for a line with a slope of 4 and a y-intercept of -3.

Back

The equation is y = 4x - 3.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Tags

CCSS.8.EE.B.5

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates a vertical line, meaning x is constant and y can take any value.

Tags

CCSS.8.EE.B.5

Front

How do you determine the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5