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2 years ago

Help me please find the slope and y-intercept

Mathematics

1 answer:

Bumek [7]2 years ago

6 0

Answer:

Slope is 2.15

y-intercept is 2

Step-by-step explanation:

We need to find slope and y-intercept of the graph given.

The formula used to find slope is: $Slope=\frac{y_2-y_1}{x_2-x_1}$

Looking at the graph, we can find 2 points

Point 1 : (0,-2)

Point (2): (2,-2.3)

Now putting values and finding slope:

We have: $x_1=0, y_1=-2, x_2=2, y_2=-2.3$

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2.3-(-2)}{2-0}\\ Slope=\frac{2.3+2}{2}\\ Slope=\frac{4.3}{2}\\Slope=2.15$

So, we get slope = 2.15

Now, finding y-intercept

y-intercept can be found if we put x =0

Looking at the graph, when x =0, y = 2

So, y-intercept is 2

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Approximately 0.02 Love north Atlantic lobsters are born blue color out of 5000 Atlantic lobsters how many would you expect to b

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Answer: 100 blue Atlantic lobsters

Step-by-step explanation:

Approximately 0.02 Atlantic lobsters are born blue.

0.02 in percentages is 2%.

Out of 5,000 Atlantic lobsters therefore, 2% will be born blue.

The number of blue lobsters expected is:

= 5,000 * 2%

= 100 blue Atlantic lobsters

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3 years ago

Tiana can afford $150 per month for a car payment. Her bank preapproved her for a 6% interest rate for 5 years. What is the maxi

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3 years ago

PLEASE HELP ILL MARK BRAINLIEST

viktelen [127]

Answer:

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5 0

2 years ago

Read 2 more answers

In 2002, the Centers for Disease Control and Prevention (CDC) reported that 8% of women married for the first time by their 18th

ehidna [41]

Question:

In 2002, the Centers for Disease Control and Prevention (CDC) reported that 8% of women married for the first time by their 18th birthday, 25% married by their 20th birthday, and 76% married by their 30th birthday. Based on these data, what is the probability that in a family with two daughters, the first and second daughter will be married by the following ages? (Enter your answers to four decimal places.) (a) 18 years of age (b) 20 years of age (c) 30 years of age

Answer:

A.) 0.0064

B.) 0.0625

C.) 0.5776

Step-by-step explanation:

Given the following :

Married by 18th birthday = 8% = 0.08

Married by 20th birthday = 25% = 0.25

Married by 30th birthday = 76% = 0.76

In a family with two(2) daughters :

P(First daughter will be married by 18) = 0.08

P(second daughter will be married by 18) = 0.08

P(1st and 2nd married by 18) = (0.08×0.08) = 0.0064

B.)

P(First daughter will be married by 20) = 0.25

P(second daughter will be married by 20) = 0.25

P(1st and 2nd married by 20) = (0.25×0.25) = 0.0625

C.)

P(First daughter will be married by 30) = 0.76

P(second daughter will be married by 30) = 0.76

P(1st and 2nd married by 30) = (0.76×0.76) = 0.5776

6 0

2 years ago

a line passes through (9, –9) and (10, –5).write an equation for the line in point-slope form. rewrite the equation in standard

Cerrena [4.2K]

The equation of the line in point-slope form is given by:
$y-yo = m (x-xo)
$
Where,
(xo, yo): point that belongs to the line
m: slope of the line
The slope is given by:
$m = \frac{y2-y1}{x2-x1}$
Substituting values:
$m = \frac{-5-(-9)}{10-9}$
Rewriting:
$m = \frac{-5+9}{10-9}$
$m = \frac{4}{1}$
$m=4$
Now we choose an ordered pair:
$(xo, yo) = (10, -5)
$
Substituting values we have:
$y-(-5)=4(x-10)$
$y+5=4(x-10)$
We now rewrite the equation in its standard form:
$y = mx + b
$
Where,
b: cut with the y axis.
We have then:
$y = 4x - 40 - 5

y = 4x - 45$
Answer:
point-slope form:
$y+5=4(x-10)$
or
$y+9=4(x-9)$
standard form
$y = 4x- 45$

3 0

3 years ago