Mathematics, 16.07.2019 10:00 ltorline123

Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar(s). the equation of a line is 2(y + 1) = 10x + 3. what is the y-intercept line and what is the slope of the line

Answers: 1

Show answers

Answers

Hey!

Alright, let's see here. To find the y-intercept of the equation, we simply must graph the equation and find out at what point does the line intercept with the y axis.

Below the answer I have provided a picture of your equation graphed. When looking at it you can see right away that the y-intercept is 0.5.

Now, the other part of your question asks us to solve what the slope is. There is two methods you could use to solve this. But I'll just use a method that is called standard form.

Standard from is Ax + By = C

is a positive integer, while B, C

are integers.

To use standard from to find the slope of the equation, we must first convert the equation to standard form. To do that, we'll first expand the equation.

Original Equation :
2 ( y + 1 ) = 10x + 3

New Equation {Changed by Expanding it} :
2y + 2 = 10x + 3

Now we'll subtract two from both sides to simplify it. This will help us get 2y on its own.

Old Equation :
2y + 2 = 10x + 3

New Equation {Simplified} :
2y = 10x + 1

Next, we'll subtract 10x from both sides to simplify it even further. This will get help us get rid of the 10x that is on the right side of the equation.

Old Equation :
2y = 10x + 1

New Equation {Simplified} :
-10x + 2y = 1

Once again, we are going to multiply both sides of the equation by -1.

Old Equation :
-10x + 2y = 1

New Equation {Simplified} :
10x - 2y = -1

Now that our equation matches standard form, we can now continue on finding the slope. It is important to remember that slope m of a line is of the standard form Ax + By = C

which equals $- \frac{A}{B}$ .

Okay, so according to standard form in our equation A = 10 and B = -2. Let's plug that into our equation.

$- \frac{A}{B} = -\frac{10}{-2}$

Now we simply simplify and we get 5. So, the slope is 5.

So, this means that for the equation 2 ( y + 1 ) = 10x + 3 the y-intercept is 0.5 and the slope is 5.

Hope this helps!

- Lindsey Frazier ♥
$Type the correct answer in each box. use numerals instead of words. if necessary, use / for the frac$

Answer from: Quest

step-by-step explanation:

once you graph it hit 2nd (the blue button) and graph

that takes you to a table of coordinates

on the left is x coordinates and on the right is y coordinates and an empty box

(you may have to scroll up/down in order to get ( x, 0)

Answer from: Quest

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 17:30

If the measure of angle 1 is 110 degrees and the measure of angle 3 is (2 x+10 degree), what is the value of x?

Answers: 2

Answer

Mathematics, 21.06.2019 20:00

How many grams the dog will eat in 3 days?

Answers: 1

Answer

Mathematics, 21.06.2019 20:00

Use circumcenter theorem to solve for the given values

Answers: 3

Answer

Mathematics, 21.06.2019 22:10

Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.

Answers: 1

Answer

You know the right answer?

Type the correct answer in each box. use numerals instead of words. if necessary, use / for the frac...

Questions