Question

Select the slope and y-intercept of the relationship shown in the table

Answer 1

• slope = 0.05, y-intercept = 2,000

Hence, option A is true.

Explanation:

x y

10, 000 2,500

20, 000 3,000

30, 000 3, 500

Taking two points (10000, 2500) and (20000, 3000) to find the slope between the points

`\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)`

`m=(3000-2500)/(20000-10000)`

`m=(1)/(20)`

`m=0.05`

We know that the slope-intercept form of the line equation is

`y=mx+b`

where 'm' is the slope and 'b' is the y-intercept

substituting the point (10000, 2500) and m=0.05 in the slope-intercept form

`y=mx+b`

`2500\:=\:0.05\left(10000\right)+b`

`500+b=2500`

`b=2000`

Thus, the y-intercept is: b=2000

Thus,

• slope = 0.05, y-intercept = 2,000

Hence, option A is true.