Question

Which table represents a linear function that has a slope of 5 and a y-intercept of 20?

Answer 1

The linear function has an equation
y=5x+20
We substitute the data of each of the tables and see that table 4 is appropriate
Answer: table 4

Answer 2

Table 4 represents the linear function that has slope of 5 and a y-intercept of 20.

Further explanation:

The linear equation with slope $m$ and intercept $c$ is given as follows.

$\boxed{y = mx + c}$

Given:

The y-intercept is $\left( { - 9, - 3} \right).$

The slope of the linear function is $- 6.$

Explanation:

The linear function can be expressed as follows,

$y = 5x + 20$

In table 1,

Substitute $-60$ for $x$ and 8 for $y$ in linear function to check whether the point satisfy the linear function.

$\begin{aligned}8&= 5\left({ - 60} \right) + 20\\8&= - 300 + 20\\8&= - 280\\\end{aligned}$

Table 1 is not correct.

In table 2,

Substitute 20 for $x$ and $0$ for $y$ in linear function to check whether the point satisfy the linear function

$\begin{aligned}0&= 5\left( {20} \right) + 20\\0&= 100 + 20\\&0\ne120\\\end{aligned}$

Table 2 is not correct.

In table 3,

Substitute $-20$ for $x$ and 0 for $y$ in linear function to check whether the point satisfy the linear function

$\begin{aligned}- 20&= 5\left( 0 \right) + 20\\- 20 &\ne 20\\\end{aligned}$

Table 3 is not correct.

In table 4,

Substitute $-4$ for $x$ and 0 for $y$ in linear function to check whether the point satisfy the linear function

$\begin{aligned}0&= 5\left( { - 4} \right) + 20\\0&= - 20 + 20\\0&= 0\\\end{aligned}$

Table 4 is correct.

Table 4 represents the linear function that has slope of 5 and a y-intercept of 20.

Learn more:

1. Learn more about the equation in the intercept form https://brainly.com/question/1473992.

2. Learn more about binomial and trinomials https://brainly.com/question/1394854.

3. Learn more about range and domain of the function https://brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: linear function,  numbers, slope 5, y-intercept of 20, slope intercept, inequality, equation, linear inequality, shaded region, y-intercept, graph, representation.