The equation of the line is ![y = (3/5)x + 26/5](https://tex.z-dn.net/?f=y%20%3D%20%283%2F5%29x%20%2B%2026%2F5)
<u>Step-by-step explanation:</u>
- The line passes through the point (2,-4).
- The line has the slope of 3/5.
To find the equation of the line passing through a point and given its slope, the slope-intercept form is used to find its equation.
<u>The equation of the line when a point and slope is given :</u>
⇒ ![(y-y1) = m(x-x1)](https://tex.z-dn.net/?f=%28y-y1%29%20%3D%20m%28x-x1%29)
where,
- m is the slope of the line.
- (x1,y1) is the point (2.-4) in which the line passes through.
Therefore, the equation of the line can be framed by,
⇒ ![(y-(-4)) = 3/5 (x-2)](https://tex.z-dn.net/?f=%28y-%28-4%29%29%20%3D%203%2F5%20%20%28x-2%29)
⇒ ![(y+4) = 3/5(x-2)](https://tex.z-dn.net/?f=%28y%2B4%29%20%3D%203%2F5%28x-2%29)
Take the denominator 5 to the left side of the equation.
⇒ ![5(y+4) = 3(x-2)](https://tex.z-dn.net/?f=5%28y%2B4%29%20%3D%203%28x-2%29)
Now, multiply the number outside the bracket to each term inside the bracket.
⇒ ![5y+20 = 3x -6](https://tex.z-dn.net/?f=5y%2B20%20%3D%203x%20-6)
⇒ ![5y = 3x-26](https://tex.z-dn.net/?f=5y%20%3D%203x-26)
Divide by 5 on both sides of the equation,
⇒ ![y = (3/5)x + 26/5](https://tex.z-dn.net/?f=y%20%3D%20%283%2F5%29x%20%2B%2026%2F5)
Therefore, the equation of the line is ![y = (3/5)x + 26/5](https://tex.z-dn.net/?f=y%20%3D%20%283%2F5%29x%20%2B%2026%2F5)
Answer:
B) $1..50
Step-by-step explanation:
First, how many trading cards did Naveen have?
87 + 9 - 16 + 3 = 83
$124.50 / 83 = $1.50
Answer:
<u>g(0) = 5</u>
Step-by-step explanation:
We will use the first equation, since <u>0 < 3</u>.
You take the number of pencils and you divide it by the students. 152/13= 11 pencils to each student
B. Just find the percentage to see if it is correct
![\frac{24.5}{73}](https://tex.z-dn.net/?f=%20%5Cfrac%7B24.5%7D%7B73%7D%20)
It equals about .3356, but multiply it by 100 to get its percentage which is about 34%. So yes it is correct.
C.
![\frac{reading}{watching \: tv} \frac{3}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7Breading%7D%7Bwatching%20%5C%3A%20tv%7D%20%20%5Cfrac%7B3%7D%7B12%7D%20)
Simplified would be a ratio of
![\frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20)
So they would be incorrect
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