The answer is A: a slope of 2/9
First you need to change find the y-intercept by converting the standard form equation to slope-intercept form. The goal is to isolate y:
x + 4y = 12
x + 4y - x = 12 - x
4y = 12 - x
4y / 4 = 12/4 - x
y = 3 - x
Change so that the slope is before the intercept:
y = -x + 3
Now we know that the y-intercept is 3.
Use the slope equation, which is y2 - y1/x2 - x1, is find the slope:
5 - 3/9 - 0 = 2/9
So, the slope is 2/9!
Let's make up a linear function: y = mx + b.
Find its inverse:
1) interchange x and y: x = my + b x-b
2) solve this result for y: my = x - b, or y = ----------
m
-1
3) replace y by f (x)
So long as m is not zero, this function is defined for all x.
Answer:
1/8
Step-by-step explanation:
1/2 divided by 4
1/2 x 1/4 = 1/8 for each
Answer:
320 mL
Step-by-step explanation:
1 L = 1,000 mL 2 L = 2,000 ml w = 2,000 ml - 320 mL I convert the amount of water Matthew drank, 2 liters, into milliliters. Then, I subtract from 2,000 mL the excess amount of water that Matthew drank, which is 320 ml.
