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2 years ago

What is the slope between the points (3, 5) and (-2, -4)?

Mathematics

1 answer:

Lubov Fominskaja [6]2 years ago

6 0

Answer:

Step-by-step explanation:

since slopes usually come in the formula of y/x, these two points can define their slopes simply by subtracting the x and y-values from each other (I believe)

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On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) an

ExtremeBDS [4]

Answer:

$y\geq x-2$

$x+2y$

Step-by-step explanation:

step 1

Find the equation of the first inequality

Find the equation of the first solid line

we have the ordered pairs

(0,-2) and (2,0)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0+2}{2-0}$

$m=\frac{2}{2}$

$m=1$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=1$

$b=-2$ ---> the y-intercept is given

substitute

$y=x-2$

Remember that

Everything to the left of the solid line is shaded

The inequality is

$y\geq x-2$

step 2

Find the equation of the second inequality

Find the equation of the second dashed line

we have the ordered pairs

(0,2) and (4,0)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0-2}{4-0}$

$m=\frac{-2}{4}$

$m=-\frac{1}{2}$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=-\frac{1}{2}$

$b=2$ ---> the y-intercept is given

substitute

$y=-\frac{1}{2}x+2$

Remember that

Everything below and to the left of the line is shaded

The inequality is

$y$

Rewrite

Multiply by 2 both sides

$2y$

$x+2y$

therefore

The system of inequalities is

$y\geq x-2$

$x+2y$

see the attached figure to better understand the problem

5 0

3 years ago

Read 2 more answers

The ratio of Victors money to Susies money is 4:7 at first. After Victor spent half of his money and Susie spent $60, Susie had

valkas [14]

Answer:

Victor originally had $80

Step-by-step explanation:

Let Victor have $4x

Let Susie have $7x

Since Victor spent half his money, he now has $2x

Susie spent $60 and thus now has $(7x - 60)

The final ratio of Victor's money to Susie's money is therefore 2x : $(7x - 60). This is given 1:2. Now we just need to solve the proportion by cross-multiplying

2x : (7x - 60) = 1:2

1 × (7x - 60) = 2 × 2x

7x - 60 = 4x

3x = 60

x = 20

Therefore Victor originally had $4x = $80.

7 0

2 years ago

Read 2 more answers

Find the unit rate in feet per second 300 yards over 1 minute

arlik [135]

In order to find the unit rate in ft / sec of 300 yards / min. We first have to elicit the conversion values for each unit of measurement, this will allows us identify how much will we multiply in order to get the goaled value.
Conversion values:
1. 1 yard = 3 feet
2. 1 minute = 60 seconds

Solution: 
1. 300 yards x 3 feet/1 yard = 900 feet
2. 1 minute x 60 seconds / 1 minute = 60 seconds

Thus, 900ft/60sec

7 0

2 years ago

Read 2 more answers

) Every two out of three kids sang at the talent show. What percent of the kids did not sing at the talent show? (round)

SCORPION-xisa [38]

The answer is 33 percent

hope this helps!

4 0

2 years ago

Read 2 more answers

Can someone please help me with math.

olasank [31]