Is it true to say that the graph, which is a straight line, is the graph
urst degree equation of the form ax + by + c = 0, where a and b are
both zero?
011i t at which the graph of the equa
Answers
Image
The graph of which of the following equations is a straight line that is parallel to line l in the figure above?
(A) 3y − 2x = 0
(B) 3y + 2x = 0
(C) 3y + 2x = 6
(D) 2y − 3x = 6
(E) 2y + 3x = −6
Kudos for a correct solution.
Spoiler: ::
If two lines are parallel, then they have the SAME SLOPE.
The given line passes through the points (0, 2) and (-3, 0)
Applying the slope formula, we get: Slope = (2 - 0)/(0 - -3)
= 2/3
Now take each equation of each line (in the answer choices) and rewrite it in slope y-intercept form: y = mx + b (where m = slope and b = y-intercept)
The rewritten equation that has m = 2/3, will be the correct answer....
A. 3y - 2x = 0...rewrite as y =(2/3)x + 0
DONE!
This line has a slope of 2/3, so it must be parallel with the given line.