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katovenus [111]
3 years ago
15

write the equation of a line in slope intercept form that passes through (2 -2) and is parallel to 2x+4y=8

Mathematics
1 answer:
Ne4ueva [31]3 years ago
8 0

Answer:

y= -1/2x-1

Step-by-step explanation:

1) put the equation in y-intercept form to find the slope of the original line 2x+4y=8

y=8/4-2x/4

y=2-1/2x

slope of second line will be -1/2

2) put point into the point-slope form (2,-2)

y-(-2)= -1/2(x-2)  now simplify

y+2= -1/2x+2/2

y+2 = -1/2x + 1

y+2-2=-1/2x + 1 -2 ====>>>>  y= -1/2x-1

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<em><u>Explanation</u></em>

Suppose,  x gallons of gas were consumed by the first car.

As the total gas consumption in one week is 35 gallons, so the amount of gas consumed by second car will be:  (35-x) gallons.

The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas.

So, the <u>distance traveled by the first car</u> in x gallons of gas =35x miles and the <u>distance traveled by the second car</u> in (35-x) gallons of gas =15(35-x) miles.

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