What is the y-intercept of the line that has a slope of -1/2 and passes through the point (2, 3)?

1 answer:

6 0

Hello!

So the equation that you want to use is
y = mx + b

Now you can plug in both the slope and your points to find b.

3 = -1/2(2) + b
3 = -1 + b
4 = b

So now that we've found b, we can use the original equation and only plug in the slope and b

y = -1/2x + 4

So to find the y-intercept, we need to plug in 0 for x

y = -1/2(0) + 4
y = 0 + 4
y = 4

Your y-intercept is (0,4)

Hope this helps!

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a store mixes red fescue worth $12 per pound and chewings fescue worth $16 per pound. The mixture is to sell for $15 per pound.

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Answer is: 414 pounds of red fescue and 138 pounds of chewings fescue is needed to produce 552 pounds of mixture.

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x - how much of red fescue is needed for one pound of mixture
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so, x=1-y
putting it into first line:(1-y)*12 + y*16 = 15
12 - 12*y + 16*y = 15
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552*3/4 - red fescue, which is 414 pounds needed
and
552/4 - chewings fescue, which is 138 pounds needed