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katen-ka-za [31]
3 years ago
10

Write an equation of the line that passes through (0,3) and (4,2).

Mathematics
1 answer:
Irina-Kira [14]3 years ago
3 0

Answer:

y= \frac{-1}{4}x+3

Step-by-step explanation:

To write an equation for a line, we will first need to find the slope of the graph. This can be done by using the slope formula:

m= \frac{y_{2-y_{1}} }{x_{2}-x_{1}}

Now, we can plug these points in this equation.

m= \frac{2-3}{4-0} --> m= \frac{-1}{4} .

Since we have derived the slope, we can simply use one of the points listed to solve for our other values by plugging them into the line formula:

y= mx+b

------------

2= \frac{-1}{4}(4)+b

2=-1+b

3= b

Therefore, the equation we get is:

y= -\frac{-1}{4}x+3

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Answer:

There are 60 boys and 80 girls in Franklin School.

Step-by-step explanation:

"franklin school has 3 boys for every 4 girls in the fifth grade." means that the ratio of boys to girls is: 3:4

It can also be written as 3/4

Also given

Total number of students: 140

We will use ratios to find the number of boys and girls in shool.

First of all, we have to calculate the sum of ratio which is: 3+4 = 7

Let b be the number of boys and g be the number of girls

Then

b = \frac{Ratio\ of\ boys}{Sum\ of\ ratio} * Total\ students\\= \frac{3}{7} * 140\\= 3*20\\=60\\g = \frac{Ratio\ of\ girls}{Sum\ of\ ratio} * Total\ students\\g = \frac{4}{7}*140\\= 4*20\\=80

Hence,

There are 60 boys and 80 girls in Franklin School.

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