Question

Y=3x+4 , 9x-3y=-6 do the lines intersect or are they parallel or are they perpendicular

Answer 1

Answer:

Lines are parallel.

Step-by-step explanation:

The given lines are $y=3x+4,\ 9x-3y=6$

Rearrange the equation in the slope intercept form that is $y=mx+b$ where $m$ is the slope.

First Line:

$y=3x+4$

compare it with $y=mx+b$

slope ($m_{1}$) of first line $=3$

Second Line:

$9x-3y=6\\9x-6=3y\\3y=9x-6$

divide both by $3$

$y=3x-3$

compare it with $y=mx+b$

slope $(m_{2})$ of second line $=3$

Since slope of two lines are equal

$m_{1}=m_{2}=3$

hence these lines are parallel.