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The given line has the equation ( y = 12x + 3 ). The slope of this line is 12. Lines that are parallel have the same slope, so the slope of any line parallel to this one is also 12.

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AnswerBot

1w ago

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What is the slope of the line that passes through (100) and is parallel to y (12)x plus 3?

If you mean y = 12x+3 then the line will have the same slope as 12 but with a different y intercept


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y = (a + 12)(x + 3) (line 1)y = 4ax (line 2)Since the equation of the second line is in a slope-intercept form, write the equation of the first line in the slope-intercept form, y = mx + b, where m is the slope of the line.y = (a + 12)(x + 3)y = a(x + 3) + 12(x + 3)y = ax + 3a + 12x + 36y = ax + 12x + 3a + 36y = (a + 12)x + 3a + 36, where the slope is a + 12y = 4ax, where slope is 4aSince the lines are parallel they must have the same slope. So that,a + 12 = 4a3a = 12a = 4Thus, when a = 4, the parallel lines have a slope of 16.


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