There is no solution to this system of equations because they both have the same slope.
If two lines have the same slope, but are not identically the same line, then they will never intersect. There is no pair (x, y) that could satisfy both equations, because there is no point (x, y) that is simultaneously on both lines. Therefore, these equations are said to be inconsistent, and there is no solution.
Just take it in co-ordinate pairs
Take two points
Slope:-
![\\ \sf\longmapsto m=\dfrac{40-60}{41-58}](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20m%3D%5Cdfrac%7B40-60%7D%7B41-58%7D)
![\\ \sf\longmapsto m=\dfrac{-20}{-17}](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20m%3D%5Cdfrac%7B-20%7D%7B-17%7D)
![\\ \sf\longmapsto m=\dfrac{20}{17}](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20m%3D%5Cdfrac%7B20%7D%7B17%7D)
![\\ \sf\longmapsto m\approx 1.2](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20m%5Capprox%201.2)
Equation of line in point slope form
![\\ \sf\longmapsto y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20y-y_1%3Dm%28x-x_1%29)
![\\ \sf\longmapsto y-60=1.2(x-58)](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20y-60%3D1.2%28x-58%29)
![\\ \sf\longmapsto y-60=1.2x-69.6](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20y-60%3D1.2x-69.6)
![\\ \sf\longmapsto 1.2x-y-9.6=0](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%201.2x-y-9.6%3D0)
- Convert to slope intercept form y=mx+b
![\\ \sf\longmapsto y=1.2x-9.6](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20y%3D1.2x-9.6)
Graph attached
Vertical line is a way to determine whether a functin is a function or not.
Answer:
1/12 chance
Step-by-step explanation:
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The bold letters are the letters in the word Encyclopedia.