Question

Lana graphs the equation x + 3y = −6 as shown. Identify the error on the graph

A) The graph of the line should pass through the origin.
B) The x-intercept of the line on the graph is −3; however, the x-intercept
should be 3.
C) The y-intercept of the line on the graph is −2; however, the y-intercept
should be 2.
D) The slope of the line on the graph is −2/3;however, the slope should be
−1/3

Answer 1

D

Explanation:

The equation of a line in slope- intercept form is

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

Given

x + 3y = - 6 ( subtract x from both sides )

3y = - x - 6 ( divide all terms by 3 )

y = -
`(1)/(3)` x - 2 ← in slope- intercept form

with slope m = -
`(1)/(3)` and y- intercept c = - 2