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2 years ago

Determining slope and y-intercept

Mathematics

1 answer:

maw [93]2 years ago

3 0

Answer:

The slope is -1

Step-by-step explanation:

Anytime the x-intercept values have 0 in it, the y-intercept value which is below/above the x-values (Which in this case is -1) is the y-intercept.

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Which of the following points lies on the line whose equation is y = 2x - 3?

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It's supposed to be (0,-3) but I guess your answer should be A

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Is the following relation linear, quadratic, or cubic? If it is linear, find the equation. Explain your reasoning and include al

Sergio [31]

The given relation is linear. Equation of the linear function; (Y-y1)/(x-x1)= m Or Y= 1/2x +2.

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

A linear equation is an equation that has the variable of the highest power of 1.

The standard form of a linear equation is of the form Ax + B = 0.

Where m is the slope and c is the y intercept.

WE have given R = {(x, y) : (2,3), (4,4), (6,5), (8,6), ...}

Let's use these two points to determine both the slope and the equation;

(2, 3), (4,4)

Slope= (y2-y1)/(x2-x1)

Slope= (4-3)/(4-2)

Slope= 1/2

Then Equation of the linear function;

(Y-y1)/(x-x1)= m

(Y-3)/(x-2)= 1/2

2(y-3) = x-2

2y -6 = x-2

2y= x-2+6

2y= x+4

Y= 1/2x +2

Hence, the given relation is linear. Equation of the linear function; (Y-y1)/(x-x1)= m Or Y= 1/2x +2.

Learn more about linear equations;

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2 years ago

There are 10 marbles in a bag. Four are blue, 3 are black and 2 white and 1 red. If the marbles are not replaced once they are d

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<u>Given</u>:

Given that there are 10 marbles in a bag. 4 are blue, 3 are black, 2 are white and 1 is red.

The marbles are selected by not replacing the drawn ones.

We need to the probability of selected a black marble and then a white marble without replacement.

<u>Probability</u>:

Let B denote the black marble.

Let W denote the white marble.

The probability of selecting a black marble is $P(B)=\frac{3}{10}$

The probability of selecting a white marble without replacement is $P(W)=\frac{2}{9}$

The probability of selecting a black marble and then a white marble without replacement is given by

$P(B \ and \ W)=P(B) \cdot P(W)$

Substituting the values, we get;

$P(B \ and \ W)=\frac{3}{10} \cdot \frac{2}{9}$

$P(B \ and \ W)=\frac{6}{90}$

$P(B \ and \ W)=\frac{1}{15}$

Thus, the probability of selecting a black marble and then a white marble without replacement is $\frac{1}{15}$

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3 years ago

Please help me I’ll give brainliest to whoever answers

Ray Of Light [21]

Answer:

n=9/8

Step-by-step explanation:

divide both sides by 8

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