Write an equation of the line

Mathematics

1 answer:

qwelly [4]3 years ago

8 0

So the rise/run is -4/1 (since the line goes down 4 units when it hits a line directly, and wherever the line hits (in this case unit 1 on the x-axis)). This will be your m. Slope intercept form is y=mx+b, therefore your equation will be y==4/1x+b. to find b, you need to look at where the line hits the y-axis. It hits it at point 4. therefore your final answer will be y=-4/1x+4

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Rewrite the fol

never [62]

Vertex Form: y = a(x - h)^2 + k, with (h,k) as the vertex.

To convert it into vertex form, we are going to be completing the square. Firstly, subtract 56 on both sides: $y-56=2x^2-32x$

Next, factor out the GCF, or greatest common factor, of the right side. To find the GCF, list the factors of both terms and the greatest one they share is their GCF. In this case, the GCF is 2: $y-56=2(x^2-16x)$

Next, we want to make what's inside the parentheses a perfect square. To find the constant of the perfect square, divide the x term by 2 and square the quotient. In this case:

-16 ÷ 2 = -8, (-8)² = 64

So you're gonna have to add 64 to the inside of the parentheses. To cancel this out, you will need to add to the other side the product of 64 and 2 (since 64 is inside the parentheses), which is 128: $y+72=2(x^2-16x+64)$