Answer:
-26
Step-by-step explanation:
1. Replace the x with 6
2. Multiply -4 by 6 to get -24
3. Subtract 2 from -24 to get -26
-26 is the answer.
Answer:14.26 dollars per year
Step-by-step explanation:
Answer:
The equation in point-slope form is: ![\mathbf{y+8= \frac{4}{9}(x+3)}](https://tex.z-dn.net/?f=%5Cmathbf%7By%2B8%3D%20%5Cfrac%7B4%7D%7B9%7D%28x%2B3%29%7D)
Step-by-step explanation:
Write the equation of the line that passes through the points (-3,-8) and (6,-4)
The point slope form is: ![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
Where m is slope and x₁ and y₁ are the points given
Finding Slope
Slope can be found of given points 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=-3, y_1=-8, x_2=6 \ and \ y_2=-4](https://tex.z-dn.net/?f=x_1%3D-3%2C%20y_1%3D-8%2C%20x_2%3D6%20%5C%20and%20%5C%20y_2%3D-4)
Putting values and finding slope
![Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-4-(-8)}{6-(-3)}\\Slope=\frac{-4+8}{6+3}\\Slope=\frac{4}{9}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5CSlope%3D%5Cfrac%7B-4-%28-8%29%7D%7B6-%28-3%29%7D%5C%5CSlope%3D%5Cfrac%7B-4%2B8%7D%7B6%2B3%7D%5C%5CSlope%3D%5Cfrac%7B4%7D%7B9%7D)
So, slope m = 4/9
Using point (-3,-8) and slope m = 4/9 the equation is:
![y-y_1=m(x-x_1)\\y-(-8)=\frac{4}{9}(x-(-3))\\y+8= \frac{4}{9}(x+3)\\](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29%5C%5Cy-%28-8%29%3D%5Cfrac%7B4%7D%7B9%7D%28x-%28-3%29%29%5C%5Cy%2B8%3D%20%5Cfrac%7B4%7D%7B9%7D%28x%2B3%29%5C%5C)
So, the equation in point-slope form is: ![\mathbf{y+8= \frac{4}{9}(x+3)}](https://tex.z-dn.net/?f=%5Cmathbf%7By%2B8%3D%20%5Cfrac%7B4%7D%7B9%7D%28x%2B3%29%7D)
{[(8 - 3) * 2] + [(5 * 6) - 5]} / 5 =
= {[2 * 8 + 2 * (-3)] + 30 - 5} / 5 =
= [(16 - 6) + 25] / 5 =
= (10 + 25) / 5 =
= 35 / 5 =
= 7
Brackets make it look complex but it's not that bad at all :)
If we are already two thirds of the way there, there is still (one minus two thirds) one thirds of the way still to go. Providing we're moving at the same speed throughout the entire journey, we will take one third of 73/4 hours to get to Boston.
One third of 73/4 hours
=⅓ x 73/4 hours
=73/12 hours
=6 1/12 hours
Or 6 hours 1/12 of 60 minutes
=6 hours 5 minutes
Or 365 minutes to reach Boston.