Question

Complete the tables using the formula. Then, identify the starting amount and the amount you change by. These are linear, so the table should go up or go down by a constant amount.Y = 5x + 8

Answer 1

Part A

x= 0 y=8

x=1 y=13

x=2 y=18

x=3 y=23

y=4 y=28

x=5 y=33

y=6 y=28

y=7 y=43

Part B

Starting point (y-intercept) = 8

Part C.

slope is 5.

STEP - BY - STEP EXPLANATION

What to find?

• The values of y at x=0,1,2,3,4,5, 6 and 7

,

• Slope

,

• Y- intercept.

Given:

y=5x + 8

To determine the values of y at each point of x, substitute into the formula given and simplify.

That is;

At x = 0

`\begin{gathered} y=5(0)\text{ +8} \\ y=0+8 \\ y=8 \end{gathered}`

At x = 1

`\begin{gathered} y=5(1)+8 \\ =5+8 \\ =13 \end{gathered}`

At x = 2

`\begin{gathered} y=5(2)+8 \\ =10+8 \\ =18 \end{gathered}`

At x = 3

`\begin{gathered} y=5(3)+8 \\ =15+8 \\ =23 \end{gathered}`

At x = 4

`\begin{gathered} y=5(4)+8 \\ =20+8 \\ =28 \end{gathered}`

At x = 5

`\begin{gathered} y=5(5)+8 \\ =25+8 \\ =33 \end{gathered}`

At x = 6

`\begin{gathered} y=5(6)+8 \\ =30+8 \\ =38 \end{gathered}`

At x=7

`\begin{gathered} y=5(7)+8 \\ =43 \end{gathered}`

Hence,

x= 0 y=8

x=1 y=13

x=2 y=18

x=3 y=23

y=4 y=28

x=5 y=33

y=6 y=28

y=7 y=43

Part B

Starting point( y-intercept).

The y-intercept is the point at which x =0

Hence, from the values above, at x=0, y=8

Hence, the starting point (y-intercept) = 8

Part C

The changes in slope.

The slope is the changes in y-intercept, the y -values kept increasing by 5.

Hence, the slope is 5.