Question

Is -9x+12y=24 and y=3/4x-5 a perpendicular, parallel, or neither?

Answer 1

Answer:

Parallel

Step-by-step explanation:

-9x + 12y = 12   {Write in slope intercept form: y= mx +b}

12y = 9x + 12

Divide the entire equation by 12

$\dfrac{12y}{12}=\dfrac{9x}{12}+\dfrac{24}{12}\\\\\\y = \dfrac{3}{4}x+2\\\\\Slope = \dfrac{3}{4}$

Second line:

$y =\dfrac{3}{4}x - 5\\\\\\Slope = \dfrac{3}{4}$

Slope of the both lines are equal.So, they are parallel