Answer:
<h2>y = 2.4x - 7.8</h2>
Step-by-step explanation:
The slope-intercept from of an equation of a line:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
<em>(x₁, y₁), (x₂, y₂)</em><em> - ponts on a line</em>
<em />
We have two points (7, 9) and (2, -3).
Substitute:
![m=\dfrac{-3-9}{2-7}=\dfrac{-12}{-5}=2.4](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-3-9%7D%7B2-7%7D%3D%5Cdfrac%7B-12%7D%7B-5%7D%3D2.4)
Put the value of the slope and the coordinates of the point (7, 9) to the equation of a line:
![9=2.4(7)+b](https://tex.z-dn.net/?f=9%3D2.4%287%29%2Bb)
<em>subtract 16.8 from both sides</em>
![-7.8=b\to b=-7.8](https://tex.z-dn.net/?f=-7.8%3Db%5Cto%20b%3D-7.8)
Finally we have:
![y=2.4x-7.8](https://tex.z-dn.net/?f=y%3D2.4x-7.8)
Find the decimal equivalent of 2 1/3
2 1/3 = 7/3 = 2.333333
(4x + 9)/ 2.333333 = 3x / 0.5 Now cross multiply
0.5 * (4x + 9) = 3x * 2.333333
2x + 4.5 = 7x Transfer 2x to the right side.
4.5 = 5x
x = 4.5/5
x = 0.9
We'd best check this one
Left hand side.
(4x + 9)/2.333333
(4*0.9 + 9)/2.333333
(3.6 + 9)/2.333333
12.6/2.333333
5.4
Right hand side
3x/0.5
= 3*0.9/0.5
= 2.7/0.5
= 5.4
And it checks.
Answer:
Step-by-step explanation:what is the answer for this question
Answer:
Step-by-step explanation:
4) C looks pretty good
5) D looks great
:) ask if you'd like to know how I figured that out