2x - 3y = 18
First, you want to isolate y.
You do this by firstly subtracting 2x from both sides.
-3y = 18 - 2x
Then you divide both sides by -3.
y = (18 - 2x)/3
You now have your function. With this you can plug in x variables to find points. I’m going to use the variables: 0, 8, -2, and 1
If x = 0 : (18 - 2 * 0)/3 = (18 - 0)/3 = 18/3 = 6
First point: (0, 6)
If x = 8 : (18 - 2 * 8)/3 = (18 - 16)/3 = 3/3 = 1
Second point: (8, 1)
If x = -2 : (18 - 2 * -2)/3 = (18 + 4)/3 = 22/3
Third point: ( -2, 22/3)
Note: to make that easier to plot, change the fraction into a mixed number- so it would be 7 and 1/3
If x = 1 : (18 - 2 * 1)/3 = (18 - 2)/3 = 16/3
Fourth point: (1, 16/3)
Note: the mixed number would be 5 and 1/3
You can choose whatever x variables you want. I just choose some that would result in a whole number or a number that wouldn’t be too large - which can make it difficult to plot sometimes. For the future, some good go-to x variables are just -1, 0, 1, and 2. Just cause they’re easy numbers.
Simple...
you have:
-2x+5y=10
re-write in y=mx+b form...
-2x+5y=10
+2x +2x
5y=2x+10
Now divide....
5y=2x+10
y=
Now it's easy to see the slope and y-intercept...
Slope:
Y-intercept:2
Thus, your answer.
Answer:
Visual Description
Step-by-step explanation:
Using two of the points on the line, you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: Slope =riserun Slope = rise run .
Let S = senior citizen and c = child:
Day 1: 3S + 1C = $38
Day 2: 3S + 2C = $52
Difference between day 1 and 2 in money = 52 - 38 = 14
The only difference in ticket amounts was 1 child ticket, so 1 child ticket cost $14.
Using Day 1, subtract 14 from the total and then divide by 3 to find the price of a senior ticket:
38 - 14 = 24
24 / 3 = 8
A senior citizen ticket cost $8
