Solving Linear Equations and Functions

Front

What is the slope of a line perpendicular to a line with a slope of -1/5?

Back

The slope of a line perpendicular to a line with a slope of -1/5 is 5.

Tags

CCSS.8.EE.B.6

Front

How do you find the equation of a line given a point and a slope?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the equation of a line that passes through the points (1, -5) and (0, 3)?

Back

The equation is y = -8x - 3.

Front

What does the term 'domain' refer to in a function?

Back

The domain refers to the set of all possible input values (x-values) for the function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

Back

The solution is x = 0.

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Tags

CCSS.8.EE.B.6

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.EE.B.6

CCSS.8.F.A.3

Front

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

Back

The y-intercept is 2.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you convert the point-slope form to slope-intercept form?

Back

Distribute and rearrange the equation to isolate y.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the significance of the x-coordinate in a point (x, y)?

Back

The x-coordinate represents the input value for the function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1