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2 years ago

Through: (0,3), parallel to y= -2x + 4

Mathematics

1 answer:

jeka942 years ago

5 0

The slope is -2 because y = mx + b

y-y₁ = m (x-x₁)

y - 3 = -2 (x-0)

y - 3 = -2x

y = -2x + 3

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Please help! Thanks in advance.

alukav5142 [94]

In this problem, we need to plug in the given x values for $f(x)=0$ and find a and b.

When we plug in 1, we get: $2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0$

Simplify:
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We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

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Plug it in:
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Now we have our second one. We can combine them:
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I use elimination method which is easier here.

Multiply the top equation by -1: $- a - b = - 17 \\ 4a + b = 32$

Add them up:
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Simplify:
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Now we have a, we can plug in one of those equations to find b:
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So, the answers are $a=5$ and $b=12$ .

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Step-by-step explanation:

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