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
frozen [14]
3 years ago
13

Write the equation of a line in slope-intercept form that goes through the points

Mathematics
1 answer:
nikitadnepr [17]3 years ago
3 0

Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

To find the slope(m), use the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}    And plug in the two points on the line

(-4, -4) = (x₁, y₁)

(4, -2) = (x₂, y₂)

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-2-(-4)}{4-(-4)} (two negative signs cancel each other out and become positive)

m=\frac{-2+4}{4+4}

m=\frac{2}{8}     Simplify the fraction

m=\frac{1}{4}      Now that you know the slope, substitute/plug it into the equation

y = mx + b

y=\frac{1}{4} x+b  To find b, plug in either of the points into the equation, it doesn't matter which, then isolate/get the variable "b" by itself. I will use (4, -2)

-2=\frac{1}{4}(4)+b

-2 = 1 + b    Subtract 1 on both sides to get "b" by itself

-3 = b

y=\frac{1}{4} x-3  Your answer is A

You might be interested in
I need help on this question please
ollegr [7]
The correct answer is A. 2.5 meters. One meter has approximately 3 feet, so it would make sense for a car to be about 7.5 feet in length

Hope this helps
3 0
3 years ago
Find the percent decreased original price: $40 sale price: $30
stich3 [128]

Answer:

25 percent

Step-by-step explanation:

Percent decrease = (original - new)/original * 100 percent

                              = (40-30)/40 * 100 percent

                              = 10/40 * 100 percent

                              = .25 * 100 percent

                               =25 %

4 0
3 years ago
Theirs a picture on top.. :) <br><br> 15. simplify<br> 16. simplify
notsponge [240]

Answer:

15(b)

16(a)

Step-by-step explanation:

15) 2x+10/2

Taking 2 common

2(x+5)/2

x+5

16) -2(-x-3)

(-2*-x)+(-2*-3)

2x+(6)

2x+6

6 0
3 years ago
Javion drank 7/8 quart of juice in two days. He drank 1/4 quart of juice yesterday. How much did he drink today?
o-na [289]

Step-by-step explanation:

7/8 - 1/4 = 5/8

__z_________z_

4 0
3 years ago
Is anyone wanna help me?
PtichkaEL [24]

Answer:

See the answers bellow

Step-by-step explanation:

For 51:

Using the definition of funcion, given f(x) we know that different x MUST give us different images. If we have two different values of x that arrive to the same f(x) this is not a function. So, the pair (-4, 1) will lead to something that is not a funcion as this would imply that the image of -4 is 1, it is, f(-4)=1 but as we see in the table f(-4)=2. So, as the same x, -4, gives us tw different images, this is not a function.

For 52:

Here we select the three equations that include a y value that are 1, 3 and 4. The other values do not have a y value, so if we operate we will have the value of x equal to a number but not in relation to y.

For 53:

As he will spend $10 dollars on shipping, so he has $110 for buying bulbs. As every bulb costs $20 and he cannot buy parts of a bulb (this is saying you that the domain is in integers) he will, at maximum, buy 5 bulbs at a cost of $100, with $10 resting. He can not buy 6 bulbs and with this $10 is impossible to buy 0.5 bulbs. So, the domain is in integers from 1 <= n <= 5. Option 4.

For 54:

As the u values are integers from 8 to 12, having only 5 possible values, the domain of the function will also have only five integers values, With this we can eliminate options 1 and 2 as they are in real numbers. Option C is the set of values for u but not the domain of c(u). Finally, we have that 4 is correct, those are the values you have if you replace the integer values from 8 to 12 in c(u). Option 4.

6 0
3 years ago
Other questions:
  • Determine if the following statement is true or false:
    9·1 answer
  • To shift the graph of an equation a certain number of units _____, you need to add that number to the function's equation. A.up
    13·2 answers
  • I need help doing this
    5·2 answers
  • Geometry homework!!!
    9·1 answer
  • Do two congruent polygons satisfy the conditions for similarity ? Why ?
    6·1 answer
  • I need help on this this is very hard. I need the answer right now. Wrong answer=report
    12·1 answer
  • 9x-y=17 and 5x+4y=-27 solve by substitution
    11·2 answers
  • On a recent survey, 45% of those surveyed indicated that they preferred basketball to football.
    9·1 answer
  • What is 3/4 + 1/3? answer please
    9·2 answers
  • Solve the equation 3x + 4 = 5x - 8​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!