Answer:
y = -2/3x
Step-by-step explanation:
To write in y=mx+b form, you need the y-intercept (b) and the slope (m).
The y-intercept is the point the line crosses the y-axis. This line crosses the y-axis of (0, 0). This makes the y-intercept equal to 0.
The slope is the rise of the line over the run of the line. Pick two points from the line. It doesn't matter which ones, you will get the right answer regardless.
I picked (0, 0) and (-3, 2). Subtract the x-values from each other, and subtract the y-values from each other.
-3 - 0 = -3 (x)
2 - 0 = 2 (y)
Divide the y by the x to find the slope.
2/-3 = -2/3
Plug in the slope and y-intercept into the equation.
y = mx + b
y = -2/3x + 0
y = -2/3x
Answer:
= 5x-5y
Step-by-step explanation:
Multiply 5to x and y
Answer:
∠2 = 146°
Step-by-step explanation:
∠2 and ∠6 are corresponding angles and are congruent, hence
∠2 = ∠6 = 146°
Answer:
11 music lessons.
Step-by-step explanation:
We know that membership costs $165 and members pay $25 per music lesson.
So, we can write the following expression:

The 165 represents the one-time membership fee and the 25m represents the cost for m music lessons.
We know that non-members pay no membership fee but their cost per lesson is $40. So:

Represents the cost for non-members for m music lessons.
We want to find how many music lessons would have to be taken for the cost to be the same for both members and non-members. So, we can set the expressions equal to each other:

And solve for m. Let's subtract 25m from both sides:

Now, divide both sides by 15:

So, at the 11th music lesson, members and non-members will pay the same.
Further Notes:
This means that if a person would only like to take 10 or less lessons, the non-membership is best because there is no initial fee.
However, if a person would like to take 12 or more lessons, than the membership is best because the membership has a lower cost per lesson than the non-membership.
And we're done!
Answer:what do you need help with
Step-by-step explanation: