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Mashcka [7]
3 years ago
8

Explain how to solve this

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
4 0
A^2+B^2=c^2 that’s how you do it
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Write the equation of a line that is perpendicular to y=2/7x +9 and that passes through the point (4,-6).
Allisa [31]

Answer:

y=-\frac{7}{2}x+8

Step-by-step explanation:

Given the equation

y\:=\:\frac{2}{7}x+9

comparing the equation with the slope-intercept form

y =mx+b            

Here,

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  • y is the intercept

so the slope of the line is 2/7

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

the slope of the perpendicular line will be: -7/2

Therefore, the point-slope form of the equation of the perpendicular line that goes through (4,-6) is:

y-y_1=m\left(x-x_1\right)

y-\left(-6\right)=\frac{-7}{2}\left(x-4\right)

y+6=\frac{-7}{2}\left(x-4\right)

y+6-6=\frac{-7}{2}\left(x-4\right)-6

y=-\frac{7}{2}x+8

3 0
3 years ago
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