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
Accepted Solution
A:
Answer:AStep-by-step explanation:2nd equation is given as:y = 5x + 7Let'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 + bWhere m is the slopeSo for first line:Slope = 5For 2nd line:Slope = 5We know parallel lines have equal slopePerpendicular lines have slopes that are negative reciprocals of each otherAs we can see, the slopes are equal, thus the lines are parallelAnswer choice A is right