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Akimi4 [234]
3 years ago
9

a line is perpendicular to y=-2x+5 and intersects the point (-4,2). what is the equation of this perpendicular line?

Mathematics
1 answer:
german3 years ago
6 0

Answer:

y = 1/2x + 4

Step-by-step explanation:

If the line is perpendicular to y = -2x + 5 then the new line has a slope of 1/2.

So solve for b: using y = mx + b

2 = 1/2(-4) + b

2 = -2 + b

4 = b

Put it all together

y = 1/2x + 4

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Let x represent orders of fries and y represent burgers, then the <span>system of equations that models the given situation is given by:

</span>4x+2y=14 \\ 3x+y=9
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The graph of the two equations is attached.

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Using elimination, first we make the coefficients of y in both equations by multiplying the second equation by 2 and then subtracting the result from the first equation.

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equation (2) x 2 gives: 
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