Question

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

0
y
0
20
40
60
8
4
0
4
8
y
0
-20
-40
60
Х
0
20
40
60
y у
4
0
4
8

Answer 1

Table (1)

Explanation:

We have to find the table representing a linear function with slope = 5 and y-intercept = 20.

We know y-intercept means value of the function at x = 0,

From all the tables given in picture,

Table (1) shows the value of the function is 20 at x = 0,

So the table (1) should be the answer.

Now we will recheck the answer for the slope = 5

Since slope of a line passing through the two points
`(x_1,y_1)` and
`(x_2,y_2)` is calculated by the formula,

m =
`(y_2-y_1)/(x_2-x_1)`

Therefore, slope of the line passing through (-4, 0) and (0, 20) will be,

m =
`(20-0)/(0-(-4))`

= 5

Now we are sure that Table (1) is the answer.