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2 years ago

What is the equation of the line that passes through the point (-6,8) and has a slope of -5/3?

Mathematics

1 answer:

Alexxx [7]2 years ago

7 0

Answer:

y = -5/3 - 8

Step-by-step explanation:

We want to write this in the form y = mx + b. We need to find the m (slope) and the b (y-intercept) , Whew, they already gave us the slope, so we are have way there. I will plug in the x and y that we are given from the point (-6, 8) to solve for b.

y = mx + b

8 = -5/3(-6) + b Multiply the fraction by -6

8 = 30/3 + b I can make 6 a fraction by writing it 6/1 and then just multiply straight across. A negative times a negative is a positive.

8 = 10 + b 30/3 is equal to 10. Now subtract 10 from both sides to get b

-8 = b

I can now write the equations since I now know m and b.

y = -5/3 + (-8) which is the same as y = -5/3 - 8. Adding a negative is the same as subtracting a positive.

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Can 12:18 be simplified

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Step-by-step explanation:

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Answer:

$\frac{9}{14} \ chance$

Step-by-step explanation:

1. Approach

Probability is a way of predicting a future outcome based on given data. In essence, the formula for finding the probability is, $\frac{desired\ outcomes}{total\ outcomes}$ .

It is given that

- (63) paid with cash

- (22) paid with a debit card

- (13) paid with a credit card

First, add all of these numbers up to find the total number of customers. Then set up the probability, finally, simplify the fraction by diving both the numerator and denominator by a common factor.

2. Find the total number of customers

Add up all of the given customers, regardless of their payment type.;

$(cash)+(credit)+(debit)\\\\= 63 + 22 + 13\\\\= 98$

(98) total customers.

3. Find the probability

Now set up the probability, remember, the formula for finding the probability is,

$\frac{desired\ outcomes}{total\ outcomes}$

The desired outcome is the number of customers who pay with cash = (63)

The total outcome is the number of customers who when to the business; (98)

Substitute in the numbers and simplify,

$\frac{desired\ outcomes}{total\ outcomes}$

$\frac{63}{98}$

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$\frac{9}{14}$

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3 years ago

When a graph line is vertical, it indicates that the relation:

marta [7]

Answer:

The relation has an undefined slope if the graph line is just vertical.

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3 years ago

2. Which of the following equations are perpendicular to 2y = -3x + 1 I. II. III. y=-x-1 - 2x + 3y = -5 2x + 3y = 2 (A) I only (

Novay_Z [31]

The equation in given as ;

2y = -3x + 1

This can be written as ;

y= -3/2 x + 1/2

This means the equation has a gradient of -3/2

Let this slope , be , ---------m1

For perperdicular lines , the product of their slopes = -1 .This means if the other line has a gradient of m2 then : m1 * m2 = -1

So from the answers :

i) y= 2/3 x - 1 the slope is 2/3

m2 = 2/3

m1 * m2 = -1 -------check the if this is true by using the two values of gradient as;

-3/2 * 2/3 = - 1 ------ This is true-----equation i

II.

-2x + 3y = -5

3y = 2x -5

y= 2/3 x -5/3 -----m2 here is 2/3

m1*m2 = -1

-3/2 * 2/3 = -1 -----this is true , so ----equation ii

iii)

2x + 3y = 2

3y = -2x + 2

y= -2/3 x + 2/3 -----m2 = -2/3

m1*m2 = -1

-3/2 * -2/3 = 1 -----this is not true,,,equation iii is not perpendicular to our equation.

so, equation i and ii are perpendicular to our equation .

Answer : B i and ii only

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1 year ago