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Linear Functions Quiz Quest

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Test your linear skills

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Linear Functions Quiz Quest
 

Linear Functions Quiz QuestOnline version

Test your linear skills

by Joan Santos
1

What is the slope of y = 2x + 5?

2

Which equation is in slope-intercept form?

3

If a line goes through (0, -4) with slope 3, its equation is?

4

Line through (1,2) with slope 2 has equation?

5

If y = mx + b with m = -1 and b = 4, what is y when x = 3?

6

A linear function has constant what over its domain?

7

Which point lies on the line y = 0.5x + 1?

8

If two points are (0,3) and (2,7), the slope is?

9

Which form is not a linear function in y?

10

A line with slope 0 is which kind of line?

11

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

12

In y = 2x + 5, what is the slope?

13

What is the y-intercept of y = -3x + 7?

14

The x-intercept of y = 4x - 8 is what?

15

If a function has x as input and y as output, which is true?

16

Which describes a line with a positive slope?

17

What term describes a linear function with a constant rate of change?

18

What is the slope between points (1,2) and (3,8)?

19

In a mapping, the input represents which variable?

20

How do you determine the slope from two points on a line?

Feedback

Slope is the coefficient of x in slope-intercept form.

Slope-intercept form is y = mx + b.

Plug x=0 to get y-intercept -4; slope 3 yields y = 3x - 4.

Using y - y1 = m(x - x1) yields y - 2 = 2(x - 1) -> y = 2x.

y = (-1)(3) + 4 = -3 + 4 = 1.

Linear functions have a constant rate of change (slope).

Plug x=4: y = 0.5(4) + 1 = 3.

Slope = (7-3)/(2-0) = 4/2 = 2.

x^2 makes it nonlinear.

Slope 0 corresponds to a horizontal line.

Slope m is the rate of change, b is the y-intercept.

Coefficient of x is the slope.

The constant term is the y-intercept.

Set y = 0 and solve 4x - 8 = 0.

In a function, y is the dependent variable on x.

Positive slope means the line rises as x increases.

The slope is the constant rate of change.

Slope = (y2 - y1) / (x2 - x1) = (8-2)/(3-1) = 3.

Input is the independent variable in a mapping.

Slope is the ratio of change in y to change in x.

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