Find the slope and y-intercept of the line that is parallel to y=3x-3 and passes through the point (-2,7)

Mathematics

1 answer:

german3 years ago

5 0

A line that is parallel to that line and hits (-2, 7) is y = 3x + 13.

The first thing we have to note is that it will have the same slope. Since the coefficient of x is 3, we know the slope is also 3. This means the new line will have that slope (this is the definition of parallel lines).

Now we can use slope intercept form, the slope and a point to find the y intercept (b).

y = mx + b

7 = 3(-2) + b

7 = -6 + b

13 = b

Now we use the slope we found (3) and the intercept (13) and place them in the final equation.

y = 3x + 13

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Chandra created a budget matrix based on her regular and expected expenses for the year. Expense Jan. Feb. Mar. Apr. May June Ju

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Chandra's Average Monthly Expenses are;

1) For Both Jan and Feb are $269

2) For the remaining 10 months each are $244

Step-by-step explanation:

From Chandra's matrix all monthly expenses are all same that is,

Cell phone $71, Rent $1,025, Gym $75, Internet $25, Auto insurance $425, Gas $ 120, Food $145. which are all the expenses carried out every month for 12 months.

That means Chandra carries out a total of 7 expenses for the month of January and February while she carried a total of 6 expenses for the remaining 10 month which was noted from the matrix that Auto insurance was carried out only in the month of January and February.

Therefore, you start by adding up each month total expenses, which are ;

January = $71 + $1,025 + $75 + $25 + $425 + $120 + $145 = $1886

February = $71 + $1,025 + $75 + $25 + $425 + $120 + $145 = $1886

March = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

April = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

May = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

June = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

July= $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

August = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

September = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

October = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

November = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461