Answer: y-2=1/4(x-1)
Step-by-step explanation:
The formula for point-slope is y-y₁=m(x-x₁). Since we are given the slope m, we can fill that in. We are also given the point (x₁,y₁). We can also fill that in.
y-2=1/4(x-1)
Proved
Note that /* means 1 line added means fraction .
and ++ means +1
A) The x-axis represents minutes used per month. The y-axis represents cost in dollars. Following the line of the graph indicating 60 minutes per month it shows Plan A costs $6 per month while Plan B costs $12 per month.
Plan A is cheaper.
Difference in prices = cost of Plan B for 60 minutes per month - cost of Plan A for 60 minutes per month
= 12 - 6 = $6 per month
b) To solve, identify where the lines of Plan A and Plan B intersect. Both lines intersect at 160 minutes per month.
Which plan costs less when less minutes are used? To solve, identify which line has a lower cost on the y-axis. Plan A costs less if less than 160 minutes are used.
First convert to an improper fraction:
-5 2/7 = -37/7
-2 1/7 = -15/7
So now you have -37/7 / -15/7
When you divide with a fraction, you just flip the numerator and denominator of the divisor and multiply instead, so
-37/7 * -7/15 = 37/15 which would be in "improper" form.
To convert it to mixed number form it would be 2 7/15
