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Constructing Parallel Lines
Use the slope of the given line to construct a parallel line
through point P. Click or tap the graph to plot another point on
the parallel line.
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-2
y
2
What is the slope of the original line?
What is the equation of the line that is parallel to the
given line and passes through the given point?

Constructing Parallel Lines Use the slope of the given line to construct a parallel line through point P Click or tap the graph to plot another point on the par class=

Respuesta :

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.

What is the equation of a line?

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:

https://brainly.com/question/21511618

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