slope intercept form:
y = mx + b
m = slope
b = y-intercept
the y-intercept is the place on the y-axis (vertical) where the line crosses. In this problem, the line crosses at (0,4), meaning the y-intercept is 4.
y = mx + 4
the slope is technically the rate of change (rise over run) bewteen points.
If you take the distance from point (-1,3) and (0,4) you get a slope of 1/1, or just 1
y = 1x +4
this could also be:
y = x + 4
(because the 1 is invisible but still there)
So we know that there are 8 slices per large pizza (7), so a total of 56 slices
we would set up a proportion
5/8=x/56
8 times 7 gives you 56, and we would do that same thing to the 5 (multiply it by 7) to get 35?
so now we know that 35 out of 56 slices were eaten
56-35 is 21
so there are 21 slices left over
Hello there!
In order to graph the solution, we need to solve it first.
So let's start....
3/7(35x - 14) ≤ 21x/2 + 3
15x -6 ≤ 21x/2 + 3
15x - 21x/2 ≤ 3 + 6
9x/2 ≤ 9
x ≤ 9* 2/9
x ≤ 18/9
x ≤ 2
See the picture for the graph
Please let me know if you have questions about the answer.
Thanks!
Answer:
Step-by-step explanation: