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1 year ago

What is the equation of the line that is perpendicular to y = 3x + 3 and passes through the point (−6, 9)?

Mathematics

1 answer:

Ludmilka [50]1 year ago

7 0

The equation of the line will be equal to 3y = -x + 21.

A line may be defined as the straight figure drawn which has no end points. The equation of a line can be written in slope intercept form as y = mx + c where m is the slope of line, c is y intercept an x and y are independent and dependent variables. If a point (x₁, y₁) is given then equation of line is (y - y₁) = m (x - x₁). The slope of line which is perpendicular to a given line having slope m is equal to -1/m.

Now, equation of line is y = 3x + 3. If we compare with slope intercept form then, m = 3. Now, slope of line perpendicular to this line is equal to -1/3. Now, equation of line passing through point (-6, 9) is given as

(y - 9) = -1/3 (x + 6)

3y - 27 = -x - 6

=> 3y = -x + 21 which is the required equation of line.

Learn more about Slope intercept form at:

brainly.com/question/9317111

#SPJ1

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Clair collects seashells. At home, she has 15 shells. Every day she brings 3 back to the beach. After 5 days how many seashells

Igoryamba

The equation would be:

y = 3x + 15

1) Table: It is pretty easy to do so, just plug in 0, 1, 2, 3, etc. for x and solve for y

2) graph (find slope): slope would be 3 shells/day that has a y-intercept of 15

3) you already defined the variables

4) 3(5)+15 = 15+15 = 30 seashells

I hope this helps!

5 0

2 years ago

Divide -2x^3-5x^2+4x+2 by x+2

erik [133]

Answer:

The correct option is C. $-2x^2-x+6, R(-10)$

Explanation:

Given:

Dividend = -2x^3-5x^2+4x+2

Divider =(x+2)

Solution:

Now by using the division method , we will find out the quotient and remainder of the given equation

And the equation will become

$-2x^3-5x^2+4x+2=(x+2)(-2x^2-x+6)-10$

So , We will get the quotient = $-2x^2-x+6$

And Remainder = -10

Hence the Correct option which perfectly satisfy the given equation is C.

4 0

2 years ago

Please answer correctly

Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

Month on x-axis and Log(mice) on y

5 0

3 years ago

Read 2 more answers

Compare these two functions. Which function shows a greater rate of change?

nata0808 [166]

Answer:

It's B

Step-by-step explanation:

"Brainlypatrol" is deleting my answers. >:(

5 0

2 years ago

Read 2 more answers

The cost of riding in a cab is $3.00 plus $0.75 per mile. The equation that represents this relation is y = 0.75x +3, where x is

Gemiola [76]

Answer:

Yes, the relation is a function.

Step-by-step explanation:

Given:

The equation that represents the cost of riding a cab is given as:

$y=0.75x+3$

Where, 'x' is the number of miles traveled and 'y' is the the total cost of the trip.

The above equation represents a line as it is of the form $y=mx+b$ which represents a line with constant slope.

Now, in order to plot this equation, we need at least two points.

Now, let $x =0$ , then

$y=0.75(0)+3=3$ . So, (0, 3) is a point on the line.

Let $x =1$ , then

$y=0.75(1)+3=3.75$ . So, (1, 3.75) is a point on the line.

Plot these two points on a graph and draw a line passing through these two points.

Now, for a relation to be a function, it should pass the vertical line test.

According to vertical line test, vertical lines passing through the graph must cut the graph at only 1 point for the graph to represent a function.

Here, we observe that vertical lines passing through the line will intersect the line only at one point. So, it represent a function.

8 0

3 years ago