All categories

3 years ago

Complete the equation of the line through (2,1) and (5,-8)

Mathematics

1 answer:

Mila [183]3 years ago

7 0

First we calculate the slope (which is called "m".

Slope = m = (Y2 -Y1) ÷ (X2 -X1)

m = (-8 -1) / (5 -2) = -9 / 3 = -3

We next fill in this equation: b = y -mx

We know m = -3 and we can choose a point (2, 1) to calculate "b"

b = 1 --3 * 2 b = 7

Putting this into y = mx +b

y = -3x +7

You might be interested in

A triangle shaped wall is 7 feet long and 9 feet wide. How long is the diagonal of triangle?

Alex Ar [27]

7^2 + 9^2 = 130
Square root of 130 is about 11.4

6 0

3 years ago

Is 7/11 greather than 9/12

Firdavs [7]

No because 0.6363.... <0.75

5 0

3 years ago

A triangle has sides that measure 3 cm, 4 cm, and 5 cm. What type of triangle is it?

NARA [144]

Scalene, because they all have different lengths on each side.

6 0

3 years ago

4 ( 2x-2 ) +2 = 4 ( x- 2 )

IRINA_888 [86]

Answer:

$x=-\frac{1}{2}$

Step-by-step explanation:

$4(2x-2)+2=4(x-2)$

First, let's go over the <em>distributive property </em>in math. When you have any expression within a parenthesis being multiplied by any expression outside a parenthesis, you are distributing the values outside onto the values inside, like so:
$a(b+c)$ ⇒ $ab+ac$
Hopefully this helps you break down how distribution works, but if you're still having trouble comprehending it, looking at examples will help. Now, back to the problem. Let's try this idea of distribution on the left side of the equation.

$4(2x-2)+2=4(x-2)\\((4)2x-(4)2)+2=4(x-2)\\(8x-8)+2=4(x-2)$

Hopefully you could follow this math, but if not, there are plenty of materials online and in books on this. Be sure to look at those if you still have trouble.
Now that we have done all the multiplication we can on the left side and only addition and subtraction remain, we can get rid of the parentheses.

$(8x-8)+2=4(x-2)\\8x-8+2=4(x-2)\\8x-6=4(x-2)$

Now let's do distribution for the other side as well. Doing this will help us easily isolate $x$ on one side after.

$8x-6=4(x-2)\\8x-6=((4)x-(4)2)\\8x-6=4x-8$

Now, using addition and subtraction, let's move all our $x$ values to one side of our equation and all other values to the other. It doesn't matter which side you choose.

$8x-6=4x-8\\4x=-2\\\frac{4x}{4}=\frac{-2}{4}$

In case you're confused by the last step there, what I did was divide both sides by the coefficient in front of our $x$ values. This will cancel the coefficient out and leave us with our solution.

$\frac{4x}{4}=\frac{-2}{4}\\x=\frac{-1}{2}=-\frac{1}{2}$

The fraction $\frac{-2}{4}$ is technically correct, but it isn't simplified. $\frac{-2}{4}$ can be simplified to $-\frac{1}{2}$ , so $-\frac{1}{2}$ is our final answer.

$x=-\frac{1}{2}$

5 0

3 years ago

What is the equation of the given linear function?

lbvjy [14]

Answer: A

Step-by-step explanation:

To solve this problem, think of a coordinate plane. Look at the first x and y on the table. The x is zero and the y is 8. Now look at the answers. For x to be zero while y has a value would mean that it would have a y-intercept of 8. The only answer that has a y-intercept of that value is A.

To prove that A is the correct problem, try to do slope intercept with it. The slope is 9, so the y increases by 9 and the x increases by 1. 8 + 9 is 17, which is the second y. 0 + 1 is 1, which is the second x. So A must be the correct answer.

5 0

3 years ago