Answer:
you on iready?
Step-by-step explanation:
2x + 5y = 5
5y = 5 - 2x
y = (5 - 2x)*(1/5)
y = 1 - 2/5x
y= -2/5x + 1
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This means that 2x+5y=5 is a line of the form y=mx+C, whereby m=-2/5 and C=1.
When x=0,
5y=5
y=5/5
y=1.
FIRST COORDINATE (0,1)
When y=0,
2x=5
x=5/2
x=2.5
SECOND COORDINATE (2.5, 0)
Draw a line through the coordinates (0,1) and (2.5, 0) and your graph will emerge.
3x+(x-2)=10
4x=12
x=12/4=3
y=x-2=3-2=1
so, x=3 and y=1
Answer: (3;1)
Answer:
![\large\boxed{y=\dfrac{8}{5}x-3}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7By%3D%5Cdfrac%7B8%7D%7B5%7Dx-3%7D)
Step-by-step explanation:
The slope-intercept form of an equation of a line:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
m - slope
b - y-intercept
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)
We have the points M(5, 5) and N(-10, -19). Substitute:
![m=\dfrac{-19-5}{-10-5}=\dfrac{-24}{-15}=\dfrac{8}{5}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-19-5%7D%7B-10-5%7D%3D%5Cdfrac%7B-24%7D%7B-15%7D%3D%5Cdfrac%7B8%7D%7B5%7D)
We have the equation:
![y=\dfrac{8}{5}x+b](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B8%7D%7B5%7Dx%2Bb)
Put the coordinates of the point M to the equation:
![5=\dfrac{8}{5}(5)+b](https://tex.z-dn.net/?f=5%3D%5Cdfrac%7B8%7D%7B5%7D%285%29%2Bb)
<em>subtract 8 from both sides</em>
![-3=b\to b=-3](https://tex.z-dn.net/?f=-3%3Db%5Cto%20b%3D-3)
Finally we have the equation:
![y=\dfrac{8}{5}x-3](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B8%7D%7B5%7Dx-3)
y - -10 = - (x - 3)
y + 10 = -x + 3
y = -x - 3
When put in point slope form, the equation is written as y minus negative 10 equals x minus 3 times -1 (y - - 10 = - (x - 3). The y minus negative 10 changes to y plus 10 (y + 10) and you distribute the right side by multiplying by negative one (-1 or simply just "-"). Then you subtract 10 from both sides, leaving us with the answer y = -x - 3.
Hope that made sense and helped.