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
Norma-Jean [14]
3 years ago
6

What is (-4, 6) and (0, 7) in slope intercept form? :) thank you

Mathematics
1 answer:
gavmur [86]3 years ago
6 0

Answer:

y = 1/4x + 7

Step-by-step explanation:

(-4, 6) and (0, 7)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(7 - 6) / (0 - (-4))

Simplify the parentheses.

= (1) / (0 + 4)

= (1) / (4)

Simplify the fraction.

= 1/4

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 1/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (0, 7). Plug in the x and y values into the x and y of the standard equation.

7 = 1/4(0) + b

To find b, multiply the slope and the input of x(0)

7 = 0 + b

Now, isolate b.

7 = b

Plug this into your standard equation.

y = 1/4x + 7

This is your equation.

Check this by plugging in the other point you have not checked yet (-4, 6).

y = 1/4x + 7

6 = 1/4(-4) + 7

6 = -1 + 7

6 = 6

Your equation is correct.

Hope this helps!

You might be interested in
Solving systems by Substitution Homework y=x+4 y=x-3​
zvonat [6]
There is no solution for this equation since they have the same slope, x/1. The only difference between these two is that their y intercepts are different meaning that they will be parallel lines that will never intersect among one other. For example, think of it as two separate lines that are have the same slope and never gain more distance/units from one another.


Solve:

To solve, you have to get one of this equations into a Ax+By=C equation form, standard equation. Let’s change y=x+4 into a standard equation.

We have to get x and y together and 4 as C.
So let’s subtract x from both sides;

y=x+4
-x -x
————————
-x+y=4

This is a standard equation.

Now let’s substitute.

take the standard equation and plug in y which is x+4 since there is a equation meaning it’s y=x+4


-x+(x+4)=4


Let’s simplify this mess.


-x+x equals 0. So we are left with 4=4.

Subtract 4 from both sides and we get 0=0



This means there is no solution. Hoped this helped.
8 0
3 years ago
Describe the pattern, write the next term, and write a rule for the nth term of the sequence,
vagabundo [1.1K]

Step-by-step explanation:

Next term is - 51

Use formula Tn=a+(n-1)d

a=the first term of the sequence which is - 15

d=the difference between the terms which is - 9

Substitute

Tn=-15+(n-1)(-9)

Tn=-15+9-9n

Tn=-9n-6

From this you will be able to generate all the terms in the pattern

If they say determine the 50th term just substitute 50 by n

Tn=-9(50)-6

Tn=-450-6

Tn=-456

7 0
3 years ago
3. The equation of a circle is x^2+y^2-4x+2y-11=0 . What are the center and the radius of the circle? Show your work.
Charra [1.4K]
Rewrite in standard form to find the center (h,k) and redius r.
center: (2,-1)
Radius:4
have a great day!!!
7 0
3 years ago
What is the additive inverse of 18xy?
Cloud [144]
An additive inverse is the value you can add to a given value such that the sum is "0".. 

Your answer is choice A
18xy + (-18xy) = 0   Since these are like terms.. the key here is understanding that like terms must have the same exact variables raised to the exact same powers.  We can add like terms.  We cannot add unlike terms.
6 0
3 years ago
Read 2 more answers
A line has a slope of -6. Which of the following could describe two points on the line?
MrRa [10]

Answer:

A is the answer just did the quiz

5 0
3 years ago
Other questions:
  • A store is having a sale on jellybeans and almonds. for 5 pounds of jellybeans and 3 pounds of almonds, the total cost is $22. F
    9·1 answer
  • K-20/5=11j ; solve for k
    14·2 answers
  • 1. Find the value of (−0.024)square
    15·1 answer
  • Help on 4 plz quick also if you can
    9·1 answer
  • What is the range of the function shown in this table?<br> х 3 4 5 6 y 4 4 2 5
    6·1 answer
  • ASAP HELP!! PLEASEEEE!!
    7·1 answer
  • A parallelogram has vertices at A(-8, 5), B(10, 3), C(1, -5) and D(-4, -3). Find the coordinates of the figure after a dilation
    11·1 answer
  • Is y=1/2x-1 proportional
    14·1 answer
  • What percent of 40 is 120?​
    6·2 answers
  • two letters weigh 90g together. one letter weighs twice as much as the other. what is the weight of the heavier letter?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!