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3 years ago

Given the line 2x - 3y - 5 = 0, find the slope of a line that is perpendicular to this line.

Mathematics

1 answer:

Tasya [4]3 years ago

5 0

Answer:

The slope of a line that is perpendicular to the given line is $-\frac{3}{2}$

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

Solve for "y" from the equation of the line $2x - 3y - 5 = 0$ :

$2x - 3y - 5 = 0\\\\-3y=-2x+5\\\\y=\frac{-2}{-3}x+\frac{5}{-3}\\\\y=\frac{2}{3}x-\frac{5}{3}$

You can observe that the slope of this line is:

$m=\frac{2}{3}$

By definition, the slopes of perpendicular lines are negative reciprocal, then, the slope of a line that is perpendicular to the give line, is

$m=-\frac{3}{2}$

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slavikrds [6]

Answer:

Step-by-step explanation:

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In ΔEFG, the measure of ∠G=90°, the measure of ∠E=20°, and GE = 75 feet. Find the length of EF to the nearest tenth of a foot.

LenKa [72]

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Step-by-step explanation:

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3 years ago

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Alex_Xolod [135]

15.04 degrees or answer A is correct.

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The remaining sides of a triangle, knowing two angles and one side.
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Vlad [161]

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