Answer:
Step-by-step explanation:
To find the equation of a line using slope and a point, first use the slope to create the basic line using the slope and work from there.
For instance, the base equation here is
This line passes through the point (0, 0).
You can then plug in a value for x. In this case, use the value of 3, as it corresponds with your question.
A point on the line of y = 2x would thus be (3, 6).
To make the y-value equal -3, you must then subtract from the original equation. There are 9 units between 6 and -3, so you must subtract nine units in the equation. You should get this at the end:
Answer:
C. y +3 = x +3
Step-by-step explanation:
We need to find in below option x has direct variation with y.
We solve for each;
A.
From above equation we can state that 2 times y is equal to 7 less than 3 times of x.
Hence it doesn't represent direct variation.
B.
Solving above expression we get;
From above equation we can state that y is equal to 10 more than x.
Hence it doesn't represent direct variation.
C.
Solving above expression we get;
From above equation we can state that y is equal to x.
Hence it represent direct variation.
D.
Solving above expression we get;
From above equation we can state that 4 times y is equal to 2 less than 4 times of x.
Hence it doesn't represent direct variation.
Hence the Answer which represent direct variation of x and y is,
C.
,12x12=144.................
Answer:
10 mph
Step-by-step explanation:
speed of boat in still water = x
speed of current = 5
speed of boat with current (downstream) = x + 5
speed of boat against current (upstream) = x - 5
distance downstream = 9
distance upstream = 3
time = t
speed = distance/time
distance = speed × time
downstream:
9 = (x + 5)t
upstream:
3 = (x - 5)t
9 = xt + 5t
3 = xt - 5t
9 = xt + 5t
-3 = -xt + 5t
-----------------
6 = 10t
t = 0.6
9 = (x + 5)0.6
15 = x + 5
x = 10
(-3, 3) because it is the intersection point.