Answer:
8x + 12y = 360
x-intercept = 45
y-intercept = 30
Slope = -3/4
Step-by-step explanation:
To begin, let's start with what we know
8 vans + 12 buses = 360 student
If we have vans as the variable x, having an unknown amount of students, and buses as y, also an unknown amount of students, also making 360 a flat number, we will get the equation
8x + 12y = 360
With this equation, we can find the y-intercepts and x-intercepts
The y-intercept can be found when x = 0, so let's substitute that in
8(0) + 12y = 360
12y / 12 = 360 / 12
y = 30
The x-intercept can be found when y = 0, so let's substitute that in
8x + 12(0) = 360
8x/8 = 360/8
x = 45
So, the x-intercept is 45 and the y-intercept is 30.
Next, let's find the slope. We can solve this easily by isolating y and finding the coefficient of x
8x + 12y = 360
-8x -8x
12y = 360 - 8x
12y / 12 = (360 - 8x) / 12
y = 30 - 3/4x
The coefficient of x is -3/4, so the slope will be -3/4
If you have any questions, please let me know in the comments! If you could mark this answer as the brainliest, I would greatly appreciate it!
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