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damaskus [11]
3 years ago
8

What is the slope of the line that passes through the points (-4, -9) and (5, 3)

Mathematics
1 answer:
egoroff_w [7]3 years ago
5 0

Answer:

4/3

Step-by-step explanation:

Moving from (-4, -9) to (5, 3), x (the 'run') increases by 9 from -4 to 5, and y (the 'rise') increases by 12 from -9 to +3.  Thus, the slope of the line connecting the two points is

m = rise / run = 12/9 = 4/3

It may help to think of the change in x (9) as the horizontal leg of a right triangle and the change in y (12) as the vertical leg.  Then  

m = (vertical leg length) / (horizontal leg length) = 12/9 = 4/3

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Write the equation of the line graphed below in Slope-Intercept form. State the slope and y-intercept.
Viefleur [7K]

Answer:

Equation: Y = -x + -3

Slope: -x

Y-intercept: -3

8 0
3 years ago
Paul is making bread using a recipe. The amount of flour he uses is proportional to the number of loaves of bread. He uses 1114
DiKsa [7]

Answer:

$20

Step-by-step explanation:

Paul is making bread using a recipe. The amount of flour he uses is proportional to the number of loaves of bread. He uses 11 1/4 cups of flour to make 5 loaves of bread. If Paul used 18 cups of flour, and then sold the loaves of bread he made at a bake sale for $2.50 each, how much money would Paul make from his bread sales?

Step 1

Find out how many loaves of bread he can produce from 18 cups of flour

11 1/4 cups of flour = 5 loaves of bread

18 cups of flour = x loaves of bread

Cross Multiply

11 1/4 cups × x loaves = 18 cups × 5 loaves

x loaves = 18 cups × 5 loaves/ 11 1/4 cups

x loaves = 90 ÷ 11 1/4

x loaves = 90 ÷ 45/4

x loaves = 90 × 4/45

x loaves = 8 loaves of bread

He can produce 8 loaves of bread from 18 cups of flour.

Step 2

We are told that:

1 loaf of bread costs $2.50

Hence,

1 loaf of bread = $2.50

8 loaves of bread = $x

Cross Multiply

$x = 8 loaves of bread × $2.50

$x = $20

Therefore, Paul made $20 from his bread sales

8 0
2 years ago
Equation Y equals 7X can be used to find the price of different amounts of honey
Fantom [35]

Answer:

x=y/7

Step-by-step explanation:

So, the variable x is the number of jars of honey.

y is the total price of the honey.

So, x=y/7

or,

y=7x

5 0
3 years ago
In 1990,when the CPI-u was 132.4,the bucy family spent an average of $80 per week on food. What was their weekly food bill in 19
olchik [2.2K]
342.8 is the amount of money 
8 0
3 years ago
The shorter leg of a right triangle is 5 inches shorter than the longer leg. The hypotenuse is 5 inches longer than the longer l
Licemer1 [7]

Answer:

longer leg: 20 in

shorter leg: 15 in

hypotenuse: 25 in

Formulas:

<u>Pythagorean Theorem</u>

c^2 = a^2 + b^2

c ... hypotenuse

a ... one leg

b ... another leg

Pythagorean theorem is used in right triangles (triangles in which one angle is 90°).

Step-by-step explanation:

longer leg: x

shorter leg: x - 5

hypotenuse: x + 5

To find x (longer leg), let's use Pythagorean theorem.

c^2 = a^2 + b^2\\(x+5)^2 = x^2 + (x-5)^2\\x^2 + 10x + 25= x^2 + x^2 -10x + 25\\x^2 + 10x = 2x^2 - 10x\\0 = x^2 - 20x

Now let's factorize to get solutions for x.

0 = x(x-20)

First solution:

x = 0

Second solution:

x - 20 = 0\\x = 20

Since a side of a triangle has to be a positive number, x is equal to 20.

Now let's just substitute x back to get side lengths. From the question the lengths are in inches.

longer leg: x = 20 in

shorter leg: x - 5 = 20 - 5 = 15 in

hypotenuse: x + 5 = 20 + 5 = 25 in

6 0
2 years ago
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