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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

Respuesta :

Answer:

A

Step-by-step explanation:

2nd equation is given as:

y = 5x + 7

Let's put first equation in this form:

[tex]15x-3y=-12\\3y=15x+12\\y=\frac{15x+12}{3}\\y=5x+4[/tex]

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

Answer:

parallel

Step-by-step explanation: