Question

Determine whether the lines are parallel, perpendicular or neither:

Line 1:4y−12=3x
Line 2:2y−1.5x=−14

Answer 1

They are parallel lines

Explanation:

Firsr you have to put both of the equations in slope intercept form which is y=mx+b and line 1 that would be 4y=3x+12 then you divide the slope and the y-intercept by 4 to get ride of the 4 in front of the y and it would equal y=3/4x+3 and for line 2 you do the same and that put into slope intercept form would be 2y=1.5x-14 so you do the same and divide the slope and the y-intercept by 2 which would equal y=0.75x-7 and 3/4 in decimal form would be 0.75. since the slopes are the same the lines would be parallel