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, $T=20^\circ$C; at $t=5$ minutes, $T=35^\circ$C. 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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