which equation represents a line that is parallel to the line whose equation is 3x-2y=7; which equation represents a line parall

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which equation represents a line that is parallel to the line whose equation is 3x-2y=7; which equation represents a line parall

el to the line shown on the graph?; which equation represents a line that is parallel to the line whose equation is y=-3x; which equation represents a line that is perpendicular to the line represented by 2x-y=7; which equation represents a line that is parallel to the line y=-3x+4; which equation represents a line that is parallel to the line y=3-2x; which equation represents a line that is parallel to the line y=-4x+5; which equation represents a line that is perpendicular to the graph of y 2 5x 1

Mathematics

1 answer:

aleksley [76] · Answer 1 · 2024-03-25T13:31:55+03:00

The equation of the line that is parallel to the line whose equation is 3x-2y=7 would be y = 3/2x + b, in which b can be any real number.

How are parallel straight lines related?

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

We have been given a parallel line with has equation

3x-2y=7

In order to solve this, the slope of the original line.

3x - 2y = 7

-2y = -3x + 7

y = 3/2x - 7/2

thus its slope is 3/2.

thus, the slope of the needed line is 3/2 too.

we know that any line that is parallel to that would have this slope.

So anything is written in the form:

y = 3/2x + b

The equation of the line that is parallel to the line whose equation is 3x-2y=7 would be y = 3/2x + b, in which b can be any real number.