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1 year ago

Write the slope intercept form of the equation of the line that passes through the point (4, 8) and has a slope of -2.

Mathematics

1 answer:

zhuklara [117]1 year ago

8 0

The equation of the line is y = -2x + 16 which passes through the point (4, 8) and has a slope of -2.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The line that passes through the point (4, 8) and has a slope of -2.

On comparing the standard equation:

y = mx + c

Here m is the slope of the line and c is the y-intercept.

m = -2

y = -2x + c

Plug x = 4 and y = 8

8 = -2(4) + c

c = 16

y = -2x + 16

Thus, the equation of the line is y = -2x + 16 which passes through the point (4, 8) and has a slope of -2.

Learn more about the linear equation here:

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Which pair of triangles must be similar? help please

lubasha [3.4K]

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

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3 years ago

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What is the solution of -6x+15=-3

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What is the inverse of the function?<br> f(x) = 1/3x-5

OlgaM077 [116]

Answer:

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f (x) = -3(x + 5)

Step-by-step explanation:

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3) solve this result for y: (1/3)y = -x - 5, or -(x + 5). Next, multiply both sides by 3 to eliminate the fraction (1/3): y = -3(x + 5)

4) replace y with the symbol for "inverse of f(x);

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5 0

3 years ago

Cameron made 1 loaf of bread. His family ate 4/6 of the loaf of bread. How much of the loaf of bread remains?/

nlexa [21]

Answer:

2/6

Step-by-step explanation:

because 4/6 is eaten so that means 2/6 is left to eat

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3 years ago

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The expression 148 – 24d gives the number of pizzas a store has in stock, where d is the number of days. How many pizzas will th

Feliz [49]

Explanation

A function is defined as a relation between a set of inputs having one output each,in this case our independent variable is the number of days( d) and the dependent variable would be the number of pizzas

Step 1

let the function

$\begin{gathered} P=148-24d \\ where\text{ P is the number of pizzas } \\ and\text{ d is the number of days} \end{gathered}$

therefore, to know the number of pizzas are in the stock after 5 days we need to evaluate the equation for d=3

$\begin{gathered} P=148-24d \\ let\text{ d=5 and evaluate} \\ P=148-24(5) \\ P=148-120=28 \\ P=28 \end{gathered}$

so, after five day there willbe 28 pizzas in stock

I hope this helpsyou

6 0

1 year ago