Writing the Equation of a Line: Slope-Intercept

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

Define slope in the context of a linear equation.

Back

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 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

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

Back

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

Tags

CCSS.8.EE.B.5

Front

Write the equation of a line with a slope of 3 and a y-intercept of -1.

Back

y = 3x - 1.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2.

Tags

CCSS.8.EE.B.5

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

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x is 0.

Tags

CCSS.8.EE.B.5

Front

Convert the equation y = 4x + 3 into slope-intercept form.

Back

The equation is already in slope-intercept form: y = 4x + 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Write the equation of a line with a slope of -1 and a y-intercept of 2.

Back

y = -1x + 2.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3