Question

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

Answer 1

Answer:

• slope = 0.05, y-intercept = 2,000

Hence, option A is true.

Step-by-step 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

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{3000-2500}{20000-10000}$

$m=\frac{1}{20}$

$m=0.05$

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.