Question

Which of the lines graphed in the diagram represents the equation x – 3y = –3?


line a
line b
line c
line d

http://static.k12.com/eli/ecollege/543/7_29458/2_30740_6_29465/cd8056edd781424ddded90dad798cb91bf271204/media/ff92a4dd8ca007510d3a0d1db42eb3c7937180bf/mediaasset_1312637_1.jpg

Answer 1

A vertical line has equation: x = k, where k is the x-intercept.
A horizontal line has equation y = k, where k is the y-intercept.
The given equation is not of the form x = k or y = k, so you can eliminate the vertical and horizontal lines.

Answer 2

Solve the equation of the given line for y.
That will put the equation in the y = mx + b form, where m is the slope.
Then from the slope and the figure above, you'll be able to tell which choice it is.