Question

What is the relationship between the lines determined by the following two equations? 15x−3y=−12 y = 5x + 7 answers A parallel , B They are the same line, C perpendicular, D neither parallel nor perpendicular

Answer 1

parallel

Explanation:

Answer 2

A

Explanation:

2nd equation is given as:

y = 5x + 7

Let's put first equation in this form:

`15x-3y=-12\\3y=15x+12\\y=(15x+12)/(3)\\y=5x+4`

The equation of a line is given as:

y = mx + b

Where m is the slope

So for first line:

Slope = 5

For 2nd line:

Slope = 5

• We know parallel lines have equal slope
• Perpendicular lines have slopes that are negative reciprocals of each other

As we can see, the slopes are equal, thus the lines are parallel

Answer choice A is right