Answer:
y = 8x + 4
Step-by-step explanation:
y=mx+b
m=8
y = 8x + b
We just need to find b. B is where the line intersects the y- axis. On the y-axis by definition, the x-coordinate =0 but that is not helpful now...
Let's re write and try to solve for b. That means write as b = ...
y = 8x + b
b = y - (8x)
Substitute for x and y the numbers of the coordinates of the given point (3,28):
b = y - (8*x)
b = 28 - (8*3)
b = 28 - 24
b = 4
So the answer is y = 8x + 4
Answer:
(-1,-3)
Step-by-step explanation:
Answer:
3x+2+36=110
3x= 110-38= 72
x= 72/3=24
Step-by-step explanation:
Answer:
Miles he drove on highway = 180 miles
Miles he drove in the city = 217 miles
Step-by-step explanation:
Lets assume that gallon used on highway = x
Miles driven on highway = y
(I) 36 miles per gallon on the highway.
36x = y equation 1
(II) 31 miles per gallon in the city.He recently drove 397 miles on 12 gallons of gasoline
31(12-x)= 397-y equation 2
372-31x= 397-y
Combine the constants:
-31x= 397-372-y
y-31x = 25
Now substitute the value of equation 1 in equation 2
y-31x=25
36x-31x=25
5x=25
Now divide both sides by 5
5x/5=25/5
x=5
Now substitute the value x=5 in equation 1
36x=y
36(5)=y
180= y
Now subtract the miles driven on highway from recently drove miles to get the miles driven in the city.
397-y = 389 - 180
= 217
Therefore,
Miles he drove on highway = 180 miles
Miles he drove in the city = 217 miles ....