Answer:
The equation of the line that goes through points (1,1) and (3,7) is ![\mathbf{y=3x-2}](https://tex.z-dn.net/?f=%5Cmathbf%7By%3D3x-2%7D)
Step-by-step explanation:
Determine the equation of the line that goes through points (1,1) and (3,7)
We can write the equation of line in slope-intercept form
where m is slope and b is y-intercept.
We need to find slope and y-intercept.
Finding Slope
Slope can be found using formula: ![Slope=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have ![x_1=1, y_1=1, x_2=3, y_2=7](https://tex.z-dn.net/?f=x_1%3D1%2C%20y_1%3D1%2C%20x_2%3D3%2C%20y_2%3D7)
Putting values and finding slope
![Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{7-1}{3-1}\\Slope=\frac{6}{2}\\Slope=3](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5CSlope%3D%5Cfrac%7B7-1%7D%7B3-1%7D%5C%5CSlope%3D%5Cfrac%7B6%7D%7B2%7D%5C%5CSlope%3D3)
We get Slope = 3
Finding y-intercept
y-intercept can be found using point (1,1) and slope m = 3
![y=mx+b\\1=3(1)+b\\1=3+b\\b=1-3\\b=-2](https://tex.z-dn.net/?f=y%3Dmx%2Bb%5C%5C1%3D3%281%29%2Bb%5C%5C1%3D3%2Bb%5C%5Cb%3D1-3%5C%5Cb%3D-2)
We get y-intercept b = -2
So, equation of line having slope m=3 and y-intercept b = -2 is:
![y=mx+b\\y=3x-2](https://tex.z-dn.net/?f=y%3Dmx%2Bb%5C%5Cy%3D3x-2)
The equation of the line that goes through points (1,1) and (3,7) is ![\mathbf{y=3x-2}](https://tex.z-dn.net/?f=%5Cmathbf%7By%3D3x-2%7D)
Answer:
the answer is 127.65
Step-by-step explanation:
if you divide 2.35 into 300 it can only go inside of 300
127.65 times that your answer
Answer:
-4
Step-by-step explanation:
-5x-10=10
add 10 to -10 to get rid of it, and to 10 because whatever you do to one side, you have to do to the other
-5x=20
divide -5 into 20
x = -4
Answer:
X=48
Step-by-step explanation:
22+26=48
180-38=132
180-132=48
Surface area = 4pir^2. So, the expression would be 4*3.14*2. So, the surface area is 50.265 in^2.