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Which value of m will create a system of parallel lines with no solution?

y = mx – 6

8x – 4y = 12

2 Answers

1 vote

Which value of m will create a system of parallel lines with no solution?


**Two lines are parallel if they have equivalent slopes. If lines are parallel, they may overlap giving us infinitely many solutions.**

~First line is in slope intercept form and has slope 'm'. Continuing on, we have to find the slope of the second line, 'm2'.

8x−4y=12−4y=−8x+12, divide both sides by -4y=2x−3

~From our information, the slope of the second line is 'm2=2'. Meaning, the lines will be parallel if m=2.

~Let's check that by finding y−intercepts.

~Intercept of first line is y1=−6 and intercept of second line is y2=−3, so lines do not overlap. Thus, for m=2 we have parallel lines with no solutions.

User Srboisvert
by
6.8k points
3 votes

Answer: m=2

Explanation:

User Alex Myers
by
7.0k points
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