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2 years ago

Constructing Parallel Lines

Mathematics

1 answer:

Orlov [11]2 years ago

6 0

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The slope of the lines is -1, and the equation of the parallel line is y-x-6.

<h3>What is the equation of a line?</h3>

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The parallel line passes through the points (-4,-2) and (-3,-3). Therefore, the slope of the line is,

Slope = (-2 + 3) / (-4 + 3) = 1/-1 = -1

The equation of the parallel line that is passing through point P is,

y = mx + c

y = -x + c

-3 = -(-3) + c

-3 -3 = c

c = -6

Hence, the slope of the lines is -1, and the equation of the parallel line is y-x-6.

Learn more about Equation of Line:

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