Question

URGENT!! Line JK has an equation of a line y = 4x - 8, and line ML has an equation of a line y = 4x + 4. These two equations represent:

a) parallel lines because the slopes of the lines are the same
b) perpendicular lines because the product of the slopes is -1
c) the same line
d) lines that are neither parallel nor perpendicular

Answer 1

The correct answer is A. The lines are parallel.

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Answer 2

These two equations represent parallel lines because the slopes of the lines are the same.

Explanation:

Line JK :
`y=4x-8`

Line ML :
`y=4x+4`

The lines are said to be parallel if they have same slopes.

The lines are said to be perpendicular if the product of their slopes is -1

Slope- intercept form:
`y=mx+c`

Where m is the slope

Compare the given lines with the slope intercept form .

Line JK :
`y=4x-8`

So, on comparing we get slope of line JK is 4

Line ML :
`y=4x+4`

So, on comparing we get slope of line ML is 4

Since the slope of both lines are same .

So, the given lines are parallel to each other .

Hence Option A is correct.

These two equations represent parallel lines because the slopes of the lines are the same.