Question

find the slope of the line (is) parallel to and (is) perpendicular to the line passing through (6,3) and (-4,5)

Answer 1

Answer:

The slope of any perpendicular line will be: 419

Step-by-step explanation:

First, we need to determine the slope of the line for the two given points.

The slope can be found by using the formula: m=y2=y1x2−x1

Where m is the slope and (x1,y1) and (x2,y2)are the two points.

Substituting the points provided gives:

m=−13−6−2−−6

m=−19−2+6

m=−194

m=−194

The slope of a line perpendicular to a given line is the negative inverse of the slope of the given line.

So, if the slope of a given line is:

m,

the slope of a perpendicular line is:

−1m

For our problem, the slope of the given line is:

−194

Therefore, the slope of a perpendicular line is:

−1×−419

419

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