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

D

Step-by-step 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 = - x - 2 ← in slope- intercept form

with slope m = - and y- intercept c = - 2

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

yep b and c r the correct got it! : )