Answer:
![y=2x-1](https://tex.z-dn.net/?f=y%3D2x-1)
Step-by-step explanation:
Use the slope-intercept formula:
where m is slope and b the y-intercept.
![(-2,-5)(4,7)](https://tex.z-dn.net/?f=%28-2%2C-5%29%284%2C7%29)
Use the slope formula for when you have two points:
![\frac{y(2)-y(1)}{x(2)-x(1)}=\frac{rise}{run}](https://tex.z-dn.net/?f=%5Cfrac%7By%282%29-y%281%29%7D%7Bx%282%29-x%281%29%7D%3D%5Cfrac%7Brise%7D%7Brun%7D)
Rise over run is the change in the y-axis over the change in the x-axis. Insert values:
![\frac{7-(-5)}{4-(-2)}](https://tex.z-dn.net/?f=%5Cfrac%7B7-%28-5%29%7D%7B4-%28-2%29%7D)
Simplify parentheses (negative+negative=positive)
![\frac{7+5}{4+2}](https://tex.z-dn.net/?f=%5Cfrac%7B7%2B5%7D%7B4%2B2%7D)
Simplify
![\frac{12}{6}=2](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B6%7D%3D2)
2 is the slope:
![y=2x+b](https://tex.z-dn.net/?f=y%3D2x%2Bb)
Now use one of the points to find the y-intercept by substituting the x and y values into the equation. Solve for b:
(4,7)
![y=2x+b\\7=2(4)+b](https://tex.z-dn.net/?f=y%3D2x%2Bb%5C%5C7%3D2%284%29%2Bb)
![7=8+b\\7-8=8-8+b\\7-8=b\\-1=b\\b=-1](https://tex.z-dn.net/?f=7%3D8%2Bb%5C%5C7-8%3D8-8%2Bb%5C%5C7-8%3Db%5C%5C-1%3Db%5C%5Cb%3D-1)
The y-intercept is -1. Insert into the equation. Change the + symbol to -:
![y=2x-1](https://tex.z-dn.net/?f=y%3D2x-1)
Done.
Answer:
<h3>2</h3>
Step-by-step explanation:
![\mathrm{Add\:the\:numbers:}\:1+1=2\\\\](https://tex.z-dn.net/?f=%5Cmathrm%7BAdd%5C%3Athe%5C%3Anumbers%3A%7D%5C%3A1%2B1%3D2%5C%5C%5C%5C)
Answer:
the answer is 14 2/3, hope this answers your question
Step-by-step explanation:
Answer: D, 6km/hr.
Step-by-step explanation:
Heather can finish a 12-kilometer race in 2 hours, and now we have to find how many kilometers she can ride/run at in 1 hour.
How many hours can Heather run in 1 hour? To solve that, we can use the equation 12 ÷ 2.
12 ÷ 2 = 6.
Therefore, if Heather keeps her pace constant, then her rate will be 6km/hr, or D.
Answer: 20
Step-by-step explanation: