All categories

2 years ago

What is the equation of the line ?

Mathematics

1 answer:

Ronch [10]2 years ago

7 0

Look at the picture.

The point-slope form:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (-3, -3) and (2, 0). Substitute:

$m=\dfrac{0-(-3)}{2-(-3)}=\dfrac{3}{5}\\\\y-0=\dfrac{3}{5}(x-2)\qquad|\text{use distributive property}\\\\y=\dfrac{3}{5}x-\dfrac{6}{5}\qquad|\cdot5\\\\5y=3x-6\qquad|-5y\\\\0=3x-5y-6\qquad|+6\\\\3x-5y=6$

Answer:

point-slope form: $y=\dfrac{3}{5}(x-2)$

slope-intercept form: $y=\dfrac{3}{5}x-\dfrac{6}{5}$

standard form: $3x-5y=6$

You might be interested in

It takes a crew 57 hours to install cabinets in one office. How long will it take the crew to install cabinets in 17 offices?

brilliants [131]

Answer:

969 hours

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

An elephant walked 30 miles in 3 hours ,how fas was the elphant walking?

Kryger [21]

Answer:

10 miles per hour

Step-by-step explanation:

speed= distance/time

30/3

=10

7 0

2 years ago

Graph the line that goes through: (−2, 5) with a slope = −4

Shalnov [3]

Answer:

-1,1 0,-3

Step-by-step explanation:

start at -2, 5 and go down 4 right 1.

Rinse and repeat

5 0

3 years ago

Given y varies inversely as x, and y = 5 when x = 9. *Write the inverse function

Ivahew [28]

Answer:

y = 45/x

Step-by-step explanation:

Here, we want to write an inverse relationship

for an inverse relationship, the product of both variables will be equal to the constant term

Let us have the constant term as k

Thus, we have it that;

xy = k

9 * 5 = k

k = 45

So the inverse function is;

xy = 45

or y = 45/x

if y is a function of x, we can have it as;

f(x) = 45/x

4 0

2 years ago

Arjun has to stick by his budget. his salary is $112,000 after taxes. he divides his

geniusboy [140]

I hope this helps you :)

6 0

2 years ago