Using slope-intercept form, y = mx + b where m = slope and b = y-intercept:
We know our slope is -6. This can be interpreted as -6/1, which rise-over-run-wise, means that when y changes by 6, x changes inversely by 1.
To find that y-intercept, though, we need to find the value of y when x = 0.
Use our point (-9, -3) to find this...
We want to add 9 to x so that it becomes 0.
According to our slope, this means subtracting 54 from y.
Our y-intercept is at (0, -57), with -57 being the value of b we put in our equation.

You could also just use point-slope form:
y - y¹ = m(x - x¹)
y - (-3) = -6(x - (-9))
y + 3 = -6(x + 9)
And convert to slope-intercept if you want:
y + 3 = -6x - 54
y = -6x - 57
15. 3x - 2y = -2
3x - 3x - 2y = -3x - 2
-2y = -3x - 2
-2 -2
y = 1.5x + 1
y - y₁ = m(x - x₁)
y - 3 = ⁻²/₃(x - (-2))
y - 3 = ⁻²/₃(x + 2)
y - 3 = ²/₃(x) - ²/₃(2)
y - 3 = ⁻²/₃x - 1¹/₃
+ 3 + 3
y = ⁻²/₃x + 1²/₃
16. 230 = 0.2s + 150
- 150 - 150
80 = 0.2s
0.2 0.2
400 = s
17. y = 2x + 2
The amount of each payment is $699.
What is payment?
Payment refers to the exchange of something of value as a condition of a contract. While one party pays money and receives something else of value, the other party gets paid in return for delivering a good or service. Physical currency was once the most common form of payment, but nowadays most forms of payment use technology.
Given: Buy 2 personal watercrafts for $3,495 each.
So, the price for 2 watercrafts is, 2 x $3495 = $6990
They make 10 equal payments for the watercrafts.
So each payment is of $6990/10 = $699.
Hence, the amount of each payment is $699.
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Carl and Rose' balconies make up the base of an isosceles triangle.
Their distances from the flagpole is the same.
From the question, we understand that:
- Carl and Rose live on a straight line
- The measure of angle from each person's balcony to the flagpole is the same
The above highlights mean that:
The relationship between Carl and Rose' balconies and the flagpole is an isosceles triangle.
Where Carl and Rose' balconies form the base of the isosceles triangle.
Hence, their distances from the flagpole is the same.
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Answer:
b
a=1
Step-by-step explanation: