Answered

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State whether the slopes would represent parallel lines, perpendicular lines, or neither.
-4 and 1/4
8 and -8
7 and 17
2 and 2

Sagot :

Answer:

neither

Step-by-step explanation:

i am goung to assume that the quarter really is just a quarter unit on the y-axis

jacob193

Answer:

The line with a slope of [tex](-4)[/tex] is perpendicular to the line with a slope of [tex](1/4)[/tex] since the product of the two slopes is [tex](-1)[/tex].

Slope of [tex]8[/tex] and slope of [tex](-8)[/tex]: neither parallel nor perpendicular.

Slope of [tex]7[/tex] and slope of [tex]17[/tex]: neither parallel nor perpendicular.

The line with a slope of [tex]2[/tex] is parallel to the other line of slope [tex]2\![/tex] since the two lines have the same slope.

Step-by-step explanation:

Two lines in a cartesian plane are parallel to one another if and only if their slopes are equal. Two lines in a cartesian plane are perpendicular to one another if and only if the product of their slopes is [tex](-1)[/tex].

For example, a line with a slope of [tex]m[/tex] is parallel to another line of the same slope, [tex]m\![/tex].

Since [tex](-m)\, (1/m) = -1[/tex], a line with a slope of [tex](-m)[/tex] would be perpendicular to a line of slope [tex](1/m)[/tex].

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