the slope of line PQ is m= 1/4. find the equation of the line that is parallel to line PQ and that has the y intercept b= -3

1 answer:

4 0

For this case we have that the generic equation of the line is given by:
$y = mx + b
$
Where,
m: slope of the line
b: intersection with the y axis.
Since the line is parallel to PQ, then the slopes are equal.
We have then:
$m = 1/4.
$
On the other hand we have:
$b = -3
$
Substituting values we have:
$y = (1/4) x - 3$
Answer:
The equation of the line that is parallel to line PQ and that has the and intercept b = -3 is:
$y = (1/4) x - 3$

You might be interested in

Imagine you have a job where you earn $700 each week after taxes. Your monthly living expenses include $725 for rent, $125 for u

Softa [21]

The monthly income is $844.

Given:

Weekly earning after taxes is $700
Monthly rent is $725
Monthly expense for utilities is $125

Monthly expense for cable/internet is $120

Monthly expense for cellphone is $35

Monthly expense for bus fare is $48

Minimum monthly payment of credit card debt is $78

Monthly expense for groceries is $600

Monthly expense for dining out and entertainment is $225

To find: The monthly income

The monthly income refers to the amount of money left over each month after paying all expenses.

Evaluating, we have,

The total monthly expense = $( $725 + 125 + 120 + 35 + 48 + 78 + 600 + 225$ )

That is, the total monthly expense is $1956.

It is given that weekly earning after taxes is $700. Since a month contains 4 weeks, we can say that monthly earning after taxes is $( $700 \times 4$ ), that is, $2800.

Then, monthly income is given by the difference between the monthly earnings and the monthly expenses. So, monthly income is $( $2800-1956$ ), that is, $844.