Sarah graphed the line that represents the equation y=−5x. Which ordered pairs represent points on the line?

Select all that apply.

(6,−30)
(−2,−10)
(5,25)
(−3,15)
(1,−5)

the ordered pairs which represent points on the line are

(6, -30) ⇒ A

(-3, 15) ⇒ D

(1, -5) ⇒ E

Step-by-step explanation:

To find the ordered pairs represents points on the line y = -5x, substitute x in the equation by the x-coordinate of each point if the value of y equals the y-coordinate of the point, then the point lies on the line

∵ y = -5x

∵ The ordered pair is (6, -30)

∴ x = 6 and y = -30

→ Substitute x in the equation by 6 to find y

∵ y = -5(6)

∴ y = -30

→ y has the same value of the y-coordinate of the point

∴ (6, -30) represents point on the line

∵ The ordered pair is (-2, -10)

∴ x = -2 and y = -10

→ Substitute x in the equation by -2 to find y

∵ y = -5(-2)

∴ y = 10

→ y does not have the same value of the y-coordinate of the point

∴ (-2, -10) does not represent a point on the line

∵ The ordered pair is (5, 25)

∴ x = 5 and y = 25

→ Substitute x in the equation by 5 to find y

∵ y = -5(5)

∴ y = -25

→ y does not have the same value of the y-coordinate of the point

∴ (5, 25) does not represent a point on the line

∵ The ordered pair is (-3, 15)

∴ x = -3 and y = 15

→ Substitute x in the equation by -3 to find y

∵ y = -5(-3)

∴ y = 15

→ y has the same value of the y-coordinate of the point

∴ (-3, 15) represents a point on the line

∵ The ordered pair is (1, -5)

∴ x = 1 and y = -5

→ Substitute x in the equation by 1 to find y

∵ y = -5(1)

∴ y = -5

→ y has the same value of the y-coordinate of the point

∴ (1, -5) represents a point on the line

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph