The basic structure of a linear function is y=mx+b (or +c, depending on your schools curriculum)
We need to find the slope (m), and the y-intercept (b/c)
To find the slope you can pick two random points, say (2,2) and (0,1)
The formula for the slope is this: m= y1-y2 / x1-x2
So if we substitute the points in, we get 2-1 / 2-0 = 1/2
Knowing the slope, it can be substituted into to the equation: y=1/2x + b
Then, if you notice the second point- (0,1), it’s the y-intercept. The y coordinate there is 1.
To check if this is correct, a random coordinate set can be picked and substituted in to find b.
y= 1/2x + b
2 = 1/2 *2 + b
2 = 1 + b
2-1=b
1=b
Therefore, the final linear function is y = 1/2 x + 1
Answer:
67
Step-by-step explanation:
Answer:
Since the truck adds 22,000 PER YEAR, this would be the number we multiply by the variable depending on how many years they are calculating for. So we have y = 22,000x
The truck already has 40,000 miles on it so it s STARTING at 40,000, this is our y-intercept, or b.
Now we have y = 22,000x + 40,000
-10x+7x=-3x
3x+1=37
(-1) (-1)
3x=36
(Divide by 3 each side)
3x divided by 3= x
36 divided by 3 = 6
Answer: x=6
