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
Marizza181 [45]
3 years ago
9

write the standard form of the equation of the line through the given point with the given slope THROUGH:(1,2), slope =7, 50 POI

NTS

Mathematics
2 answers:
yan [13]3 years ago
6 0
A standard equation for a line is usually written as y=mx+b, m being the slope and b the y-intercept. We already have the slope, 7. To find the y-intercept we need to make an equation. The coordinates (1,2) will help us. We can plug the x from our point into the equation as well as our y. 1 is the x and 2 is the y. Therefore our equation is 2=7(1)+b. Now we solve. 7×1=7, so 2=7+b. Then we subtract 7 from both sides to get rid of the 7 on the right side. In addition, the 7 is positive so subtracting will get rid of it.
2=7+b
-7 -7
2-7 is -5. Therefore -5 is b.
Now we can make an equation.
y will remain y.
x will remain x.
m = 7
b = -5
y=7x+(-5) or y=7x-5

I hope this helped! (:
ss7ja [257]3 years ago
6 0

Answer:

7 x − 1 y = 5

Explanation:

First, we can write the equation in point-slope form. The point-slope formula states:  

( y − y 1 ) = m ( x − x 1 )

Where  

m  is the slope and  ( x 1  y 1 )

is a point the line passes through.

Substituting the values from the problem gives:

( y − 2 ) = 7 ( x − 1 )

Now, we need to convert to standard form. The standard form of a linear equation is:  

A x + B y = C

where, if at all possible,  A ,  B , and  C  are integers, and A is non-negative, and, A, B, and C have no common factors other than 1

We convert as follows:

y − 2 = ( 7 × x ) − ( 7 × 1 )

y − 2 = 7 x − 7

− 7 x + y − 2 + 2 = − 7 x + 7 x − 7 + 2

− 7 x + y − 0 = 0 − 5

− 7 x + y = − 5

− 1 ( − 7 x + y ) = − 1 × − 5

( − 1 × − 7 x ) + ( − 1 × y ) = 5

7 x − 1 y = 5



You might be interested in
A student bought 5 coats at $86 each and paid for them with only $20 bills. How many bills did it take ?
aleksandr82 [10.1K]
It took 22 $20 bills . $86 x5= $430
Then $430 divide by 20 = 21.5
So you can’t have half a bill do the answer has to be rounded up to 22 twenty dollar bills
3 0
3 years ago
ASAP<br><br> AND HOW DID YOU GET THE ANSWER<br><br> ( WILL MARK BRIANIST)
Luda [366]

Answer: 11/24

Convert 3/8 to 9/24

Convert 1/12 to 2/24

Add them together to get 11/24

If I did a poor job explaining I can help more in the comments.

3 0
3 years ago
Read 2 more answers
In the accompanying figure, triangle ABC has coordinates A(0,3), B(7,3), C(7,7). What is the area of triangle ABC in square unit
ElenaW [278]

We know area of triangle = \frac{1}{2}  * base * height

In triangle ABC , AB is the base and BC is the height

Now we find the distance between A and B

Distance formula is \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}

A(0,3), B(7,3)

Distance AB = \sqrt{(7-0)^2 + (3-3)^2}

= \sqrt{(7)^2 } = 7

B(7,3), C(7,7)

Distance BC = \sqrt{(7-7)^2 + (7-3)^2}

= \sqrt{(4)^2 } = 4

area of triangle = \frac{1}{2}  * base * height

area of triangle = \frac{1}{2}  * AB * BC

= \frac{1}{2}  * 7 * 4 = 14 units ^2

4 0
3 years ago
Find the angle x (in degrees) that the wheelchair ramp makes with the ground.​
iogann1982 [59]

Answer:

x=175

Step-by-step explanation:

The sum of all the degrees in a triangle is 180. First, you have to rind what the third degree of the triangle is. We will call this y.

85+90+y=180

175+y=180

y=5

The floor is flat, so it will be 180 degrees, therefore, x+y=180. We can substitute 5 in for y, so 5+x=180.

So, x would be 175.

8 0
3 years ago
Round 4.9451 to the nearest thousandths
maria [59]

Answer:

49.451 this would be the answer

5 0
2 years ago
Read 2 more answers
Other questions:
  • A student reads 65 pages per hour
    5·1 answer
  • How long would it take for a snail (average speed of 0.029) to travel 2,800 miles ?
    5·2 answers
  • 7.25h + 5 = 6.5h + 10.25
    10·2 answers
  • What is 3 ÷ 19?<br><br> Answer Wisely.<br><br> Choose The Right Path.
    6·2 answers
  • 3 ( x - 4 ) = 2x = 6
    7·2 answers
  • X square - 5 x - 24 = 0 <br>Answer pls​
    11·1 answer
  • If APTS – APQR, find the value of x.<br> 3x - 8<br> P<br> 28<br> T<br> 21<br> x +11<br> S<br> R
    13·1 answer
  • I need some help plz
    6·2 answers
  • han want to buy a $30 ticket to a game, but the pre-oder tickets are sold out, he knowns there will be more tickets sold the day
    10·1 answer
  • 787476464.1234444×123444848847757747474= ?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!