Line M has equation: 2x-5y = 9. Write the equation of a line L, which passes thr

tabita57i

tabita57i

Answered question

2021-09-22

Line M has equation: 2x-5y = 9. Write the equation of a line L, which passes through the point (-6,4) and also perpendicular to line M.

Answer & Explanation

l1koV

l1koV

Skilled2021-09-23Added 100 answers

Step 1
Consider the provided equation,
2x+5y=9
Which passes through the point (−6,4).
Also perpendicular to line.
First, put the equation of the line given into slope-intercept form by solving for y.
2x+5y=9
5y=-2x+9
y=25x+95
Step 2
Compare with the standard equationsy=mx+b.
Here m1=25
Perpendicular lines have opposite-reciprocal slopes.
So we get,
m2=52
The equation of the line is shown below,
y=52x+b
Step 3
Which passes through the point (−6,4).
4=52(6)+b
8=-30+b
b=38
Now, the equation is becomes.
y=52x+38
Hence.

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