All categories

3 years ago

Write the equation of the line intersecting the point (1,5) and with slope m=3

Mathematics

2 answers:

alexandr1967 [171]3 years ago

5 0

The answer you are looking for is y = 3x + 2.

To find this answer, you fill in the coordinate points (1,5) and the slope (m or 3) into the equation y = mx + b (to find the y-intercept or b).

The equation will now say 5 = 3 * 1 + b. First, multiply 1 and 3 to get 3. Next, subtract 3 from both sides (to get b by itself). B = 2.

Now you use the same equation (y = mx + b) and gill in the slope and y-intercept. Thus meaning your answer is y = 3x + 2.

Here's a picture to show how I solved this problem. I hope this helps!

zavuch27 [327]3 years ago

4 0

Answer:

$\displaystyle 3x - y = 2, -3x + y = 2, or\:y = 3x + 2$

Step-by-step explanation:

Plug the coordinates into the Slope-Intercept Formula instead of Point-Slope Formula because you will get it done much faster that way:

5 = 3 + b

$\displaystyle 2 = b \\ \\ y = 3x + 2$

If you want it in Standard Form:

y = 3x + 2

- 3x - 3x

_________

$\displaystyle -3x + y = 2 \\ \\ OR \\ \\ 3x - y = 2$

I am joyous to assist you anytime.

You might be interested in

The length of a 200 square foot rectangular vegetable garden is 4feet less than twice the width. Find the length and width of th

inna [77]

Answer:

Length = 18.099 ft

Width = 11.049 ft

Step-by-step explanation:

let the length of the field be x ft

and the width be y ft

as per the condition given in problem

x=2y-4 -----------(A)

Also the area is given as 200 sqft

Hence

xy=200

Hence from A we get

y(2y-4)=200

taking 2 as GCF out

2y(y-2)=200

Dividing both sides by 2 we get

$y(y-2)=100$

$y^2-2y=100$

subtracting 100 from both sides

$y^2-2y-100=0$

Now we solve the above equation with the help of Quadratic formula which is given in the image attached with this for any equation in form

$ax^2+bx+c=0$

Here in our case

a=1

b=-1

c=-100

Putting those values in the formula and solving them for y

$y=\frac{-(-2)+\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

$y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

Solving first

$y=\frac{2+\sqrt{4+400}{2}$

$y=\frac{2+\sqrt{404}{2}$

$y=\frac{2+20.099}{2}$

$y=\frac{22.099}{2}$

$y=11.049$

Solving second one

$y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

$y=\frac{2-\sqrt{4+400}{2}$

$y=\frac{2-\sqrt{404}{2}$

$y=\frac{2-20.099}{2}$

$y=\frac{-18.99}{2}$

$y=-9.045$

Which is wrong as the width can not be in negative

Our width of the field is

y=11.099

Hence the length will be

x=2y-4

x=2(11.049)-4

x=22.099-4

x=18.099

Hence our length x and width y :

Length = 18.099 ft

Width = 11.049 ft

4 0

3 years ago

Help pls :) I'm not good with math

4vir4ik [10]

Answer:

the answer is the first one

Step-by-step explanation:

4 0

3 years ago

What is the answer to 6/5= 2/5n and tell me how you got the answer

alina1380 [7]

$\frac{6}{5}$ = $\frac{2}{5} n$

First, simplify $\frac{2}{5} n$ to $\frac{2n}{5}$ / Your problem should look like: $\frac{6}{5}$ = $\frac{2n}{5}$
Second, multiply both sides by 5. / Your problem should look like: 6 = 2n
Third, divide both sides by 2. / Your problem should look like: $\frac{6}{2}$ = n
Fourth, simplify $\frac{6}{2}$ to 3. / Your problem should look like: 3 = n
Fifth, switch sides. / Your problem should look like: n = 3

Answer: n = 3

6 0

4 years ago

What is the measure of the exterior angle of a triangle with all 60 degree angles?

katovenus [111]

I guess you are asking the measurement of the external angle of 60. If so it will be 120 or the supplement of 60 is 120

7 0

4 years ago

Help fast please !! Represent the following sentence as an algebraic expression, where "a number" is the letter x. 4 is added to

Oduvanchick [21]

The answer is 2x + 4 :)

5 0

3 years ago