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3 years ago

Find the equation of the line that passes through the point (-2,-7) that has a slope of 3

Mathematics

1 answer:

Korolek [52]3 years ago

8 0

Answer:

The answer is

Step-by-step explanation:

To find an equation of a linewhen given the slope and a point we use the formula

$y - y_1 = m(x - x_1) \\$

where

m is the slope

( x1 , y1) is the point

From the question the point is (-2,-7) and slope 3 is

The equation of the line is

$y + 7 = 3(x + 2) \\ y + 7 = 3x + 6 \\ y = 3x + 6 - 7$

We have the final answer as

Hope this helps you

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anastassius [24]

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2 years ago

Which equations results from adding the equations in this system?<br> x+6y=9<br> -x+2y=-15

UkoKoshka [18]

Answer:

8y = -6

Step-by-step explanation:

Simply add the equations as you would numbers.

The 'x's cancel each other out. The 'y's add together as normal numbers.

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Hope that this helps!

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3 years ago

Triangle PQR hAS vertices P (4,-1),Q(-2,7), and R (9,9). find an equation of the median from R

strojnjashka [21]

A median intersects at the midpoint of the opposite length. The midpoint is:

x,m = (4+-2)/2 = 1
y,m = (-1+7)/2 = 3

The midpoint is at (1,3). With this point and point R(9,9), the equation would be:

y = mx + b, where
m = (9 - 3)/(9 - 1) = 0.75
b is the y-intercept
Substituting any point,
3 = 0.75(1)+b
b = 2.25

Thus, the equation for the median is:

y = 0.75x + 2.25

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3 years ago

Checking account A charged a monthly fee of $5 and a per-check fee of $0.25, and checking account B charged a monthly fee of $6

Genrish500 [490]

First we need to know both the formula of A and B.

The formula of A is
C = 5 + 0.25p
with C representing total cost and p representing the amount of checks.

The formula of B is
C = 6 + 0.15p
with C representing total cost and p representing the amount of checks.

To find the point where A and B cost the same, we solve the following equation:
5 + 0.25p = 6 + 0.15p

Collecting terms gives us
-1 = -0.1p

Now we have to divide by -0.1 and we get.
10 = p
p = 10

So our answer: after 10 checks both accounts cost the same amount of money. Answer A.

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3 years ago

Book club A charges $20 for membership and $2 per book rental. Book club B charges $10 for membership and $3 per book rental. Fo

Mrrafil [7]

Given:

Book club A charges $20 for membership and $2 per book rental.

Book club B charges $10 for membership and $3 per book rental.

To find:

The number of books for which the cost be the same at both book clubs.

Solution:

Let x be the number of books.

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