Find the y-intercept of the line on the graph.

Mathematics

1 answer:

horrorfan [7]3 years ago

4 0

The y intercept is 2,0

You might be interested in

which of the following gives an equation of a line that passes through the point (6 over 5, -19 over 5) and is parallel to the l

victus00 [196]

One equation for this would be

$y = \frac{41}{16} x-\frac{55}{8}$

We start by finding the slope between the two points:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-12-\frac{-19}{5}}{-2-\frac{6}{5}}
\\
\\=(-12+\frac{19}{5}) \div (-2-\frac{6}{5})
\\
\\=(\frac{-60}{5}+\frac{19}{5}) \div (\frac{-10}{5}-\frac{6}{5})
\\
\\=\frac{-41}{5} \div \frac{-16}{5}=\frac{-41}{5} \times \frac{-5}{16}=\frac{41}{16}$

A line parallel to this one will have the same slope. We will use point-slope form to write our equation:

$y-y_1=m(x-x_1)
\\
\\y-\frac{-19}{5}=\frac{41}{16}(x-\frac{6}{5})
\\
\\y+\frac{19}{5}=\frac{41}{16}x- \frac{41}{16} \times \frac{6}{5}
\\
\\y+\frac{19}{5}=\frac{41}{16}x-\frac{246}{80}
\\
\\y+\frac{304}{80}=\frac{41}{16}x-\frac{246}{80}
\\
\\y=\frac{41}{16}x-\frac{246}{80}-\frac{304}{80}
\\
\\y=\frac{41}{16}x-\frac{550}{80}
\\
\\y=\frac{41}{16}x-\frac{55}{8}$

6 0

3 years ago

I need to prove the following statement: a number is even if and only if its last digit is even.

Tanzania [10]

It is basically like 82 84 76 94

6 0

3 years ago

Read 2 more answers

The equation c = start fraction: numerator: 5 denominator: 9: end fraction (f – 32) is used to convert temperature from degrees

krek1111 [17]

It will increase by 5/9 of a degree.

If you convert the given equation into slope intercept form, you will have:

c = (5/9)f + 160/9

In this form, it is easier to see the slope. The line would be increase by a rate of 5/9.

3 0

3 years ago

In a factory, 53 workers receive a wage of 7,576 each per month. Find the total wages received by all the workers for one financ

Olin [163]

Step-by-step explanation:

as you know, there are 12 months per year.

also, the word "annual" means "per year" (of again 12 months).

each worker gets 7,576 per month.

that means each worker gets an annual salary of

7,576 × 12 = 90,912

the salaries/wages of all 53 workers together in a year are then

90,912 × 53 = 4,818,336