Question 1

Given the table of values below, identify the slope $$m$$ and y-intercept $$b of $$the line that passes through these points.

$$x$$ | $$y$$
---|---
$$-2$$ | $$-1.5$$
$$0$$ | $$0$$
$$6$$ | $$4.5$$

Which of the following correctly gives the slope $$m$$ and y-intercept $$b$$?

Accepted Answer

$$m=0.75$$, $$b=0$$

Question 2

A line passes through the points $$(2, 5)$$ and $$(6, 13). $$What is the slope $$m$$ and y-intercept $$b of $$the line?

Accepted Answer

$$m=2$$, $$b=1$$

Question 3

A chemist records the temperature of a reaction at different times. The data fits a linear model: at $$t=0$$ minutes, $$T=20^\circC$$; at $$t=5$$ minutes, $$T=35^\circC. $$What is the slope $$m$$ and y-intercept $$b of $$the temperature as a function of time?

Accepted Answer

$$m=3$$, $$b=20$$

Question 4

A medical researcher finds that the number of bacteria in a culture increases linearly over time. At hour $$0$$, there are $$100$$ bacteria. At hour $$4$$, there are $$220$$ bacteria. What is the slope $$m$$ and y-intercept $$b of $$the line representing bacteria count over time?

Accepted Answer

$$m=30$$, $$b=100$$

Question 5

A line is graphed passing through $$(0, -3)$$ and $$(4, 5). $$What is the slope $$m$$ and y-intercept $$b$$?

Accepted Answer

$$m=2$$, $$b=-3$$

Question 6

A company’s profit $$P (in $$thousands of dollars) is modeled by a line passing through $$(1, 8)$$ and $$(5, 20). $$What is the slope $$m$$ and y-intercept $$b$$?

Accepted Answer

$$m=3$$, $$b=5$$

Question 7

A line passes through $$(0, 7)$$ and $$(3, 1). $$What is the slope $$m$$ and y-intercept $$b$$?

Accepted Answer

$$m=-2$$, $$b=7$$

Question 8

A biologist observes that the height of a plant increases linearly. At day $$0$$, the height is $$2 cm. At $$day $$10$$, the height is $$7 cm. $$What is the slope $$m$$ and y-intercept $$b$$?

Accepted Answer

$$m=0.5$$, $$b=2$$

Question 9

A line passes through $$(2, -4)$$ and $$(6, 0). $$What is the slope $$m$$ and y-intercept $$b$$?

Accepted Answer

$$m=1$$, $$b=-6$$

Question 10

A line is graphed passing through $$(0, 2)$$ and $$(5, -8). $$What is the slope $$m$$ and y-intercept $$b$$?

Accepted Answer

$$m=-2$$, $$b=2$$

Question 11

A line passes through $$(0, 0)$$ and $$(8, 4). $$What is the slope $$m$$ and y-intercept $$b$$?

Accepted Answer

$$m=0.5$$, $$b=0$$

Question 12

A line passes through $$(3, 9)$$ and $$(7, 1). $$What is the slope $$m$$ and y-intercept $$b$$?

Accepted Answer

$$m=-2$$, $$b=15$$

Question 13

A line passes through $$(0, -5)$$ and $$(10, 0). $$What is the slope $$m$$ and y-intercept $$b$$?

Accepted Answer

$$m=0.5$$, $$b=-5$$

Question 14

A line passes through $$(0, 4)$$ and $$(8, 0). $$What is the slope $$m$$ and y-intercept $$b$$?

Accepted Answer

$$m=-0.5$$, $$b=4$$

Question 15

A line passes through $$(2, 3)$$ and $$(5, 9). $$What is the slope $$m$$ and y-intercept $$b$$?

Accepted Answer

$$m=2$$, $$b=-1$$

Question 16

A line passes through $$(0, 10)$$ and $$(4, 2). $$What is the slope $$m$$ and y-intercept $$b$$?

Accepted Answer

$$m=-2$$, $$b=10$$

Question 17

A line passes through $$(0, -2)$$ and $$(6, 10). $$What is the slope $$m$$ and y-intercept $$b$$?

Accepted Answer

$$m=2$$, $$b=-2$$

Question 18

A line passes through $$(0, 0)$$ and $$(5, 15). $$What is the slope $$m$$ and y-intercept $$b$$?

Accepted Answer

$$m=3$$, $$b=0$$

Question 19

A line passes through $$(0, 6)$$ and $$(3, 0). $$What is the slope $$m$$ and y-intercept $$b$$?

Accepted Answer

$$m=-2$$, $$b=6$$

Slope and Y-Intercept from a Table of Values

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