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3 years ago

What is the equation of the line, in slope-intercept form, that passes through (4.2) and (-2, -3)?

Mathematics

1 answer:

Keith_Richards [23]3 years ago

3 0

Answer:

y = 5/6x + -8

Step-by-step explanation:

you first need to find the gradient using the formula m = (y2 - y1)/(x2 - x1)

the gradient would be 5/6.

the slope intercept form equation is y = mx + c. so by taking one of the points, 2 = 5/6(4) + c

12 = 5(4) + c

12 = 20 + c

c = 12 - 20

c = -8

hence, y = 5/4x + -8

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What is the slope of the line?

12345 [234]

You can find the slope using the following formula:

$\begin{gathered} m=\frac{y2-y1}{x2-x1} \\ where\colon \\ (x1,y1)=(0,2) \\ (x2,y2)=(1,0) \\ m=\frac{0-2}{1-0}=\frac{-2}{1}=-2 \end{gathered}$

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1 year ago

Plz answer correctly. its for a test

4vir4ik [10]

Answer:

the third one

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3 years ago

Write an expression to represent Vivian's change in elevation from -9.6 feet at the bottom of the Ferris wheel to 12.3 feet at t

Lina20 [59]

Answer:

12.3 – (-9.6)

Step-by-step explanation:

4 0

3 years ago

The profit of a company receives is given by the expression 0.15(855p - 315) where p is the number of problems sold. Rewrite thi

Goryan [66]

The profit for 25 products sold and 150 products sold are 3159 and 19190.25 respectively.

Explanation

The profit of a company receives is given by the expression: $0.15(855p - 315)$

Simplifying this expression using distributive property, we will get .....

$0.15(855p - 315) \\ \\ = (0.15*855p)-(0.15*315)\\ \\ =128.25p-47.25$

So, the simplified expression for profit will be: $128.25p-47.25$

As $p$ represents the number of products sold, so for finding the profit for 25 products sold and 150 products sold, we need plug $p=25$ and $p=150$ separately into the above expression.

For $p=25$ , Profit $=128.25(25)-47.25 = 3206.25-47.25= 3159$

For $p=150$ , Profit $=128.25(150)-47.25 = 19237.50-47.25= 19190.25$

5 0

3 years ago

Find an equivalent ratio for 22/55 and then write the proportion

lutik1710 [3]

$\frac{22}{55} = \frac{2}{5} = .4$

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3 years ago

Read 2 more answers