Consider the line y = 2/3x – 4.


A line parallel to the graph of the line would have a slope of __________
.
A line perpendicular to the graph of the line would have a slope of ________

Respuesta :

for the parallel line it will still have a slpoe of 2/3

as for the perpendicular libe it will be double like 4/6 so it can meet it at a 90° angle.

The slope of other line is parallel [tex]m = \frac{2}{3}[/tex].

The slope of other line is perpendicular  [tex]m =- \frac{2}{3}[/tex].

Given that,

Line,  [tex]y = \frac{2}{3} x - 4[/tex]

We have to find ,

A line parallel to the graph of the line would have a slope of.

A line perpendicular to the graph of the line would have a slope of .

According to the question,

  • Parallel lines and their slopes are easy.

Since, slope is a measure of the angle of a line from the horizontal, and since parallel lines must have the same angle, then parallel lines have the same slope.

Then, The slope of given line is [tex]m = \frac{2}{3}[/tex]

The given line is parallel to each other having same slope.

Then, The slope of other line is parallel [tex]m = \frac{2}{3}[/tex].

  • A line perpendicular to the graph of the line would have a slope of perpendicular lines must have the same angle, then perpendicular lines have the same slope with negative sign.

Then, The slope of given line is [tex]m = \frac{2}{3}[/tex]

The given line is perpendicular to each other having same slope.

Then, The slope of other line is perpendicular  [tex]m =- \frac{2}{3}[/tex].

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