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3 years ago

Write the equation of the line with slope 8 and passes through the point ( - 9, - 7)

Mathematics

1 answer:

AleksAgata [21]3 years ago

4 0

Answer:

Step-by-step explanation:

To find the equation of the line 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 slope is 8 and the point is ( - 9 , - 7)

Substitute the values into the above formula and solve for the equation

We have

$y + 7 = 8(x + 9) \\ y + 7 = 9x + 72 \\ y = 9x + 72 - 7$

We have the final answer as

Hope this helps you

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A bag contains purple marbles and blue marbles, 41 in total. The number of purple marbles is 4 less than 2 times the number of b

Andreas93 [3]

Answer:

There are 26 purple marbles in the bag.

Step-by-step explanation:

1) We have purple (p) and blue (b) marbles in a bag, and 41 marbles total so:

p+b = 41

2) we want to know how many purple marbles we have, so let's rearrange for p:

p = 41 - b

3) Our problem gives us an expression for the purple marbles in terms of the blue, let's write it using math symbols instead of words:

<em>"The number of purple marbles is 4 less than 2 times the number of blue marbles."</em>

so: p = 2b - 4

3) Now we're going to plug this in (or substitute it) for our p in our first equation, and solve for b

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2b - 4 = 41 - b (substitution)

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3b = 45 (add b to both sides)

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3 years ago

John has $4000 in his savings account.each month he withdraws $70 from his account which is the type of function that models thi

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Answer:

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That means -70 in 1 week.

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After 3 week, he will have withdrawn -70 × 3

After x weeks, he will have withdrawn $70 × x,or simply -70x.

He starts with 4000, so after x weeks, he has 4000 - 7x.

Let y = the amount of money at week x.

The equation is

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