Okay so for each one it gets multiplied by three. We have four terms so we need to find three more. 54·3=162 162·3=486 486·3=1458 2,6,18,54,162,486,1458 1458 is your answer I hope this helps you
Answer:
y = 3x + 1
Step-by-step explanation:
The slope is 3 and the y-intercept is 1, so y= 3x + 1.
The distance is 5. Hope this helps!
Answer:
1. Plot the point (–2,4).
2. From that point, count left 3 units and down 1 unit and plot a second point.
3. Draw a line through the two points.
Step-by-step explanation:
Given:
The equation is: ![y-4=\frac{1}{3}(x+2)](https://tex.z-dn.net/?f=y-4%3D%5Cfrac%7B1%7D%7B3%7D%28x%2B2%29)
Express this in the standard form, ![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where,
is the slope of the line and
is the y-intercept.
![y-4=\frac{1}{3}((x+2)\\y=\frac{1}{3}((x+2)+4\\y=\frac{1}{3}x+\frac{2}{3}+4\\y=\frac{1}{3}x+\frac{14}{3}](https://tex.z-dn.net/?f=y-4%3D%5Cfrac%7B1%7D%7B3%7D%28%28x%2B2%29%5C%5Cy%3D%5Cfrac%7B1%7D%7B3%7D%28%28x%2B2%29%2B4%5C%5Cy%3D%5Cfrac%7B1%7D%7B3%7Dx%2B%5Cfrac%7B2%7D%7B3%7D%2B4%5C%5Cy%3D%5Cfrac%7B1%7D%7B3%7Dx%2B%5Cfrac%7B14%7D%7B3%7D)
So, the slope is
and y-intercept is
.
Now, for ![x=-2,y=\frac{1}{3}\times -2+\frac{14}{3}=4](https://tex.z-dn.net/?f=x%3D-2%2Cy%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes%20-2%2B%5Cfrac%7B14%7D%7B3%7D%3D4)
So, first we plot the point
.
Since, the slope is
, we have to move 3 units to left and then 1 unit down to plot a second point.
Slope is positive, therefore, we have to move left and then down
Lastly, we have to draw a line passing through these two points to graph the equation
.