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Graph A line goes through the point (6,–2) and has a slope of –3. What is the value of a if the point (a,7) lies on the line?

3241004551 [841]

Answer:

The value of a is 3

Step-by-step explanation:

First you have to make an equation based on the point and slope that you were given. The formula for this is y-(y cordinate of point)=slope(x-x cordinate of slope)

y--2=-3(x-6), which simplifies to y+2=-3(x-6)

In (a,7), 7 is the y coordinate. We have to plug 7 in for the y in our equation.

7+2=-3(x-6),

Combine like terms on the left side to get to 9=-3(x-6)

Multiply out on the left to get 9=-3x+18

Subtract 18 from the left side to get -9=-3x

Divide both sides by negative 3 to get 3=x (remember x is a)

7 0

2 years ago

Determine the length of the line segment shown. line segment from negative 10 comma 9 to 5 comma negative 1 4 units 18 units 19

user100 [1]

The length of the line segment is (b) 18 units

<h3>How to determine the length of the line segment?</h3>

The line segment is given as

ine segment from negative 10 comma 9 to 5 comma negative 1

This can be rewritten as

line segment from (-10, 9) to (5, -1)

The length of the line segment is then calculated using the following distance formula

distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where

(x, y) = (-10, 9) to (5, -1)

Substitute the known values in the above equation, so, we have the following representation

Length = √[(-10 - 5)² + (9 + 1)²]

Evaluate

Length = 18

Hence, the length is 18 units

Read more about distance at

brainly.com/question/7243416

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4 0

1 year ago

Read 2 more answers

-6x + 2y = 10 is written in Standard form.<br> Rewrite it in y=form.

dedylja [7]

Answer:

y = 3x + 5

Step-by-step explanation:

add 6x to each side to get:

2y = 6x + 10

finally, divide each side by 2 to get:

y = 3x + 5

8 0

2 years ago

Read 2 more answers

Today only, a suit is being sold at a 32% discount. The sale price is $323.

alukav5142 [94]

Answer:

475

Step-by-step explanation:

100%-32%=68%

323 x 100=32300/68

=475

3 0

1 year ago

Given f of x is equal to the quantity 8x plus 1 end quantity divided by the quantity 2x minus 9 end quantity, what is the end be

MaRussiya [10]

Using limits, it is found that the end behavior of the function is given as follows:

As x → -∞, f(x) → 4; as x → ∞, f(x) → 4.

<h3>How to find the end behavior of a function f(x)?</h3>

The end behavior of a function f(x) is given by the limit of f(x) as x goes to infinity.

In this problem, the function is:

$f(x) = \frac{8x - 1}{2x - 9}$

Considering that x goes to infinity, for the limits, we consider only the terms with the highest exponents in the numerator and denominator, hence:

$\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} \frac{8x}{2x} = \lim_{x \rightarrow -\infty} 4 = 4$ .

$\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{8x}{2x} = \lim_{x \rightarrow \infty} 4 = 4$ .

Hence the correct statement is:

As x → -∞, f(x) → 4; as x → ∞, f(x) → 4.

More can be learned about limits and end behavior at brainly.com/question/27950332

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7 0

1 year ago