What is the equation of the line perpendicular to 2x − 5y = −35 that contains the point (10, 4)?

Mathematics

2 answers:

Gnoma [55]3 years ago

7 0

Perpendicular has slope that multiplies to -1 in other sloope

thsi one

2x-5y=-35
-5y=-2x-35
y=2/5x+7
slope=2/5
2/5 times -5/2=-1
y=-5/2x+b
findn b
(10,4)
(x,y)
4=-5/2(10)+b
4=-25+b
21=b
y=-5/2x+21
2y=-5x+42
5x+2y=42

marishachu [46]3 years ago

3 0

I left the equation in the gradient-intercept form which is just the form where the 'y' variable in the equation is with a coefficient of 1.... Hope you can see the picture though.

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To solve for the angle:

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