Write the equation of a line that passes through (-4,15) and (-7,10) in point slope form

1 answer:

8 0

(-4,15),(-7,10)
slope = (10 - 15) / (-7 - (-4) = -5 / (-7 + 4) = -5 / -3 = 5/3

there can be 2 answers to this...depending on the point u use...
y - y1 = m(x - x1)
slope(m) = 5/3
using point (-4,15)...x1 = -4 and y1 = 15
now we sub
y - 15 = 5/3(x - (-4)..not done yet
y - 15 = 5/3(x + 4) <=== this is one answer

y - y1 = m(x - x1)
slope(m) = 5/3
using point (-7,10)....x1 = -7 and y1 = 10
now we sub
y - 10 = 5/3(x - (-7)...not done yet
y - 10 = 5/3(x + 7) <=== and here is the other answer

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The difference of two numbers is 90 and their quotient is 10

bija089 [108]

To solve this, set up two equations using the information you're given. Let's call our two numbers a and b:
1) Difference of two numbers is 90
a - b (difference of two numbers) = 90

2) The quotient of these two numbers is 10
a/b (quotient of the two numbers) = 10

Now you can solve for the two numbers.
1) Solve the second equation for one of the variables. Let's solve for a:
a/b = 10
a = 10b

2) Plug a =10b into the first equation and solve for the value of b:
a - b = 90
10b - b = 90
9b = 90
b = 10

3) Using b = 10, plug it back into one of the equations to find the value of a. I'll plug it back into the first equation:
a - b = 90
a - 10 = 90
a = 100

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Answer: The numbers are 100 and 10

3 0

4 years ago

Jill gets a base pay of $1500 per month. She also earns a commission of 8% of her total sales. What are Jill's earnings for a mo

mart [117]

Answer:

$4060.

Step-by-step explanation:

We have been given that Jill gets a base pay of $1500 per month. She also earns a commission of 8% of her total sales. We are asked to find Jill's earnings for a month in which she has sales of $32,000.

Jill's earnings for the month would be base salary pus 8% of $32,000.

$\text{Jill's total earnings for the month}=\$1500+\$32,000\times \frac{8}{100}$