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Marina86 [1]
3 years ago
7

What is an equation of the line that passes through the points (0, -4) and (-4, 6)?

Mathematics
1 answer:
Allushta [10]3 years ago
6 0

I got this answer by first using the slope formula, which would result into \frac{0 - 4}{6 - 0}  \\for which the answer would be - ⅔ Then, the y-intercept could be found easily, since you already have it., which is (0,4). Since the format for all linear equations are y=mx+b , in which b means the y-intercept and m means the slope. So then, if you substitute - ⅔ for m and 4 for b , you would get

y =  -  \frac{2}{3} x + 4 \\

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Prestige car rentals charge $44 per day plus 6 cents per mile to rent a mid sized vehicle. Gateway auto charges $35 per day plus
bulgar [2K]

Answer:

300 miles

Step-by-step explanation:

Let

x ----> the number of miles

y ----> the total cost for rent a car

we know that

The equation of the line in slope intercept form is equal to

y=mx+b

where

m is the slope or unit rate

b is the y-intercept or initial value

<u><em>Prestige car rentals</em></u>

we have that

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The y-intercept is b=\$44

therefore

y=0.06x+44 -----> equation A

<u><em>Gateway auto</em></u>

we have that

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The y-intercept is b=\$35

therefore

y=0.09x+35 -----> equation B

For what number of miles both companies charge the same price>

Equate equation A and equation B

0.09x+35=0.06x+44

solve for x

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