Question

Which equation represents a line which is parallel to the line 8y-3x=-8

Answer 1

First, we need to make the equation given to be in the form;

y=mx + b

where m is the slope and b is the intercept

8y - 3x = -8

Add 2x to both-side of the equation

8y = 3x - 8

Divide through the equation by 8

y = 3/8 x -1

comparing the above with y =mx + b

m = 3/8

slope of parallel equations are equal

From the options given the only equation with slope 3/8 is;

y= 3/8 x + 8

$y=\frac{3}{8}x\text{ + 8}$

The above equation of the line is parallel to 8y - 3x = -8