For this there isn’t a graph showing .
Answer:
![y = 2x - 5](https://tex.z-dn.net/?f=%20y%20%3D%202x%20-%205%20)
Step-by-step explanation:
Find the slope using the points, (1, -3) and (3, 1):
![slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 -(-3)}{3 - 1} = \frac{4}{2} = 2](https://tex.z-dn.net/?f=%20slope%28m%29%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20%3D%20%5Cfrac%7B1%20-%28-3%29%7D%7B3%20-%201%7D%20%3D%20%5Cfrac%7B4%7D%7B2%7D%20%3D%202%20)
m = 2
Find the y-intercept (b) by substituting x = 1, y = -3, and m = 2 in ![y = mx + b](https://tex.z-dn.net/?f=%20y%20%3D%20mx%20%2B%20b%20)
![-3 = (2)(1) + b](https://tex.z-dn.net/?f=%20-3%20%3D%20%282%29%281%29%20%2B%20b%20)
![-3 = 2 + b](https://tex.z-dn.net/?f=%20-3%20%3D%202%20%2B%20b%20)
Subtract 2 from both sides
![-3 - 2 = 2 + b - 2](https://tex.z-dn.net/?f=%20-3%20-%202%20%3D%202%20%2B%20b%20-%202%20)
![-5 = b](https://tex.z-dn.net/?f=%20-5%20%3D%20b%20)
![b = -5](https://tex.z-dn.net/?f=%20b%20%3D%20-5%20)
Plug in the value of m and b into the slope-intercept form equation,
.
Thus:
![y = 2x +(-5)](https://tex.z-dn.net/?f=%20y%20%3D%202x%20%2B%28-5%29%20)
✅![y = 2x - 5](https://tex.z-dn.net/?f=%20y%20%3D%202x%20-%205%20)
Answer:
y = -5.5
Step-by-step explanation:
The only lines that have a slope of 0 are horizontal lines. Horizontal lines are always in the form y = c where c is a constant. Basically, on a horizontal line, no matter what x is, y will always be the constant c. Therefore, the x coordinate of our given point does not matter and we only have to look a the y-coordinate, which is -5.5. Therefore, the equation is y = -5.5.
Answer:
k =4/5
Step-by-step explanation:
![k - 4.8=0.32 - 5.4k\\\mathrm{Multiply\:both\:sides\:by\:}100\\k\times\:100-4.8\times\:100=0.32\times\:100-5.4k\times\:100\\\\Refine\\100k-480=32-540k\\\\Add\: 480\mathrm{\:to\:both\:sides}\\100k-480+480=32-540k+480\\\\Simplify\\100k=-540k+512\\\\\mathrm{Add\:}540k\mathrm{\:to\:both\:sides}\\100k+540k=-540k+512+540k\\\\Simplify\\640k=512\\\\\mathrm{Divide\:both\:sides\:by\:}640\\\frac{640k}{640}=\frac{512}{640}\\\\k=\frac{4}{5}](https://tex.z-dn.net/?f=k%20-%204.8%3D0.32%20-%205.4k%5C%5C%5Cmathrm%7BMultiply%5C%3Aboth%5C%3Asides%5C%3Aby%5C%3A%7D100%5C%5Ck%5Ctimes%5C%3A100-4.8%5Ctimes%5C%3A100%3D0.32%5Ctimes%5C%3A100-5.4k%5Ctimes%5C%3A100%5C%5C%5C%5CRefine%5C%5C100k-480%3D32-540k%5C%5C%5C%5CAdd%5C%3A%20480%5Cmathrm%7B%5C%3Ato%5C%3Aboth%5C%3Asides%7D%5C%5C100k-480%2B480%3D32-540k%2B480%5C%5C%5C%5CSimplify%5C%5C100k%3D-540k%2B512%5C%5C%5C%5C%5Cmathrm%7BAdd%5C%3A%7D540k%5Cmathrm%7B%5C%3Ato%5C%3Aboth%5C%3Asides%7D%5C%5C100k%2B540k%3D-540k%2B512%2B540k%5C%5C%5C%5CSimplify%5C%5C640k%3D512%5C%5C%5C%5C%5Cmathrm%7BDivide%5C%3Aboth%5C%3Asides%5C%3Aby%5C%3A%7D640%5C%5C%5Cfrac%7B640k%7D%7B640%7D%3D%5Cfrac%7B512%7D%7B640%7D%5C%5C%5C%5Ck%3D%5Cfrac%7B4%7D%7B5%7D)
اكتشف بنفسك أيها الغبي :)