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.
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