Determine which two equations represent parallel lines.?

Question

y = 5/3 x + 4
y = - 3/5 x – 7
y = 2x + 8
y = 2x – 4

Answer 1

y = 2x + 8
y = 2x – 4

Their slopes are the same.



And for the next question you might have:

y = 5/3 x + 4
y = - 3/5 x – 7

The product of their slopes is -1, meaning they're perpendicular lines.

Answer 2

Whenever equations of lines are written in the form y = mx + c, m (the number accompanying x) is the slope, which is a measure of how much the line is inclined to the axes. Here, in the last two equations, 'm' is the same, 2 in each case. So these two lines have the same slope and are parallel.

Answer 3

Parrallel lines always have the same slope(m)
the general equation for a line is y=mx+b.
y = 2x + 8
y = 2x – 4
these two both have the same slope(m)

Answer 4

y=2x+8 || y=2x-4

Answer 5

the third and the fourh as their slopes are the same i.e.2