1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nevsk [136]
3 years ago
6

Find the slope between the two points given. Then, use the slope and one of the points to write the equation of the line in Slop

e-Intercept form. State the slope and y-intercept.

Mathematics
1 answer:
Anika [276]3 years ago
8 0

Answer:

Equation: y=2x-1

Slope: 2

y-intercept: -1

Step-by-step explanation:

Hi there!

We are given the points (-1, -3) and (-2, -5). We need to find the slope, equation of the line, and the y intercept of the line

First, let's find the slope

The formula for the slope (m) calculated from two points is \frac{y_2-y_1}{x_2-x_1} where (x_1,y_1) and (x_2,y_2) are points

We have everything we need for the formula, but let's label the values of the points to avoid any confusion

x1=-1

y1=-3

x2=-2

y2=-5

Now substitute into the formula (remember: the formula has SUBTRACTION):

m=\frac{-5--3}{-2--1}

simplify

m=\frac{-5+3}{-2+1}

add

m=\frac{-2}{-1}

divide

m=2

So the slope is <u>2</u>

Now let's find the equation of the line

The question asks for it to be in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

We calculated the slope from earlier, so let's substitute that into the equation

y=2x+b

Now we need to find b

The equation will pass through both (-1, -3) and (-2, -5) so we can use either one of them to solve for b (doesn't matter which one)

Let's take (-1, -3) as an example

substitute -1 as x and -3 as y into the equation

-3=2(-1)+b

multiply

-3=-2+b

Add 2 to both sides

<u>-1=b (the value of the y intercept!) </u>

Substitute -1 as b into the equation

<u>y=2x-1</u>

We found everything needed for this problem

Hope this helps!

You might be interested in
WRITE POLYNOMIAL INSTANDARD FORM<br> -9X4+2X-1
Harrizon [31]

Answer:

vv

Step-by-step explanation:

3 0
3 years ago
What’s the slope of (2,4) and (4,9)
serious [3.7K]

Answer:

2.5

Step-by-step explanation:

6 0
3 years ago
Which statements are true?
Nata [24]

Answer:

123

Step-by-step explanation:

5 0
2 years ago
PLS HELP MEEEI NEED ANSWERS ASAP ASAP
Brums [2.3K]

Answer:

Associative.

Step-by-step explanation:

In addition and multiplication, it does not matter which two numbers you put together first. On the left aide 6 is associated with 3. On the right side 3 is grouped with 7.  It doesn't matter where 3 goes. You still get the same answer.

(6 + 3) + 7 = 6 + (3 + 7)

   9    +  7   =  6  + 10

        16  =  16

6 0
3 years ago
What is the product of 0.02 and 0.7
lana [24]
Since product means multiplication, 0.02 x 0.7 = 0.014
6 0
3 years ago
Other questions:
  • The East Bay Deli, makes 12.38 pounds of pasta salad each day. West Bay Deli makes three times that amount each day. How many co
    5·1 answer
  • -2x-x+5=-2x+3x-10x pfff
    15·1 answer
  • How tall is the flagpole?<br> X<br> 6 ft<br> 15 ft<br> 4.5 ft
    6·1 answer
  • -36 divided by (-12).
    9·1 answer
  • Simplify 5x−4y+2(y+x)
    5·2 answers
  • Given B(-4,-6), under which reflection is B(4,-6)?
    13·1 answer
  • A) 197°<br> C) 211°<br> B) 261°<br> D) 236°
    10·2 answers
  • HELP<br> WRITE AS EQUATION IR EXPRESSION<br> 500 decreased by sum of a number and 2 is 300
    5·1 answer
  • Drag each number to the correct location on the calculation and statement. Each number can be used more than once, but not all n
    13·1 answer
  • Please help as soon as possible
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!