Answer:
y = 5/2x + 5
y = 5/2x - 9.5
Step-by-step explanation:
We need to solve for the y in the expresion of 2x + 5y = 25
[tex]2x + 5y = 25\\y = (25 - 2x)/5 \\y = 5 - 2/5x[/tex]
now we re-arrenge the factors in the form y = ax + b
y = -2/5x + 5
we reverse "a"
y = 5/2 + a
And now, we use a point in the other formula to solve for a:
original line:
y = 5 - 2/5x
X = 0 then Y = 5
now we solve for the general equation of the perpendicular equation:
[tex]y - y_1 = m ( x - x_1)[/tex]
[tex]y - 5 = 5/2 (x - 0)\\y = 5/2x + 5[/tex]
If we use a different point we get a different formula:
original line:
y = 5 - 2/5x
X = 5 then Y = 3
[tex]y - 3 = \frac{5}{2}(x - 5)\\y - 3 = \frac{5}{2}x -12.5 \\y = \frac{5}{2}x - 9.5[/tex]
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