Question

15. Which of the following equations was

used to graph the line shown?
A. y=6 + x
B. y=6 - x
C. y=x- 6
D. y=6x

Answer 1

B

Explanation:

The equation of a line in slope- intercept form is

y = mx + c (m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 0)

m =
`(0-6)/(6-0)` =
`(-6)/(6)` = - 1

Note the line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = - x + 6 or y = 6 - x ⇒ B