Our equation for this table could be an equation in slope-intercept form:
y=mx+b
m=slope of the line:
b=y-intercept.
1) we have to calculate the slope of this line.
We need two points, you can choose two points of this table, for example:
the points (4,6) and (10,15)
m=(y-y₀)/(x-x₀)
m=(15-6)/(10-4)
m=9/6
m=3/2
2) we have to find "b";
We have this equation:
y=3/2 x +b
Now, we choose any point of this table; For example (8,12), now we find "b",
y=3/2 x+b
12=3/2 (8)+b
12=12+b
b=12-12
b=0
Therefore: the equation would be y=3/2 x
More easy:
if y vary directly with x, then: y=(y₂-y₁)/(x₂-x₁) x
You choose any two points of this table:
(8,12)
(10,15)
y=(15-12)/(10-8) x
y=3/2 x
Answer: y=3/2 x
2x+1=5x-20
you want to find the x value so you want to isolate x to do this you have to subtract 2x on both sides. After you have accomplished this you add 20 on both sides once again and then you divide what your answer from what you added by three.
2x+1=5x-20
-2x -2x
________
1=3x-20
+20 +20
_______
21/3=3x/3
7=x
Answer:
(x+7)+3y =
x+7+3y =
2x+14+6y
Step-by-step explanation:
Hope this helps
Answer:
$6000
Step-by-step explanation:
so she made 72000 in a year, a year as 12 months so to find the monthly rate we just need to divide 72000 by 12 which gives 6000