What is the equation of the line that is parallel to the line y = -1/3x+4 and passes through the point (6,5)

Mathematics

1 answer:

inn [45]2 years ago

3 0

Answer:

$\sf y =\dfrac{-1}{3}x + 7$

Step-by-step explanation:

Equation of line: y =mx +b

Here, m is the slope and b is the y-intercept.

Parallel lines have same slope.

$\sf y =\dfrac{-1}{3}x + 4$

So, the slope of the required line = -1/3

Equation of the required line:

$\sf y =\dfrac{-1}{3}x + b$

Point(6,5) goes through the line. substitute x = 6 and y =5 in the above equation and then we can find the value of y-intercept 'b'

$\sf 5 =\dfrac{-1}{3}*6 +b\\\\ 5 = -2 + b\\\\5+2 = b\\\\\boxed{b = 7}$

Equation of the require line:

$\sf \boxed{\bf y =\dfrac{-1}{3}x+7}$

You might be interested in

McDonalds sells quarter-pound cheeseburgers for .99 cents last saturday.they sold 310 of these cheeseburgers. how many pounds of

Anvisha [2.4K]

The first thing you should do is calculate how many pounds of cheese a hamburger has
1 hamburger = 1/4 pound of cheese.
Then, you can make a rule of three to know how many pounds of cheese were sold:
1 ---> 1/4
310 ---> x
Clearing x we have:
x = ((310) / (1)) * (1/4) = 77.5
Answer
they sell last saturday 77.5 pounds of cheese

4 0

3 years ago

Find the area of the figure

DENIUS [597]

Answer:

Step-by-step explanation:

To find the area of the rectangle, you do 13 times 8. That gives you 104. Now, for the triangle, you do 1/2 base times height. That is 1/2 of (13 - (4 + 4)) times 6. That equals 1/2 of 5 times 6. So 5 times 3 is 15. 104 - 15 is 89. I hope this helped and please mark me brainliest! Thanks.

7 0

2 years ago

Given. <1 and <2 are supplements , <3 and <4 are supplements, and <1 = <4

Veseljchak [2.6K]

Here’s the answers , it stops at 7 in the picture but here’s 8-9

8. Statement - m<1+m2=m<3+m<1
Reason - substitution property

9. Statement - m<2 = m<3
Reason - subtraction property

10. Statement - <2=<3
Reason - definition of = angles !!