Please help me on this math problem!

How do i do this???????????????????????????????????

Karo-lina-s [1.5K]

Answer:

The y-intercept is (0, -6).

Step-by-step explanation:

The question is asking you to find the equation of the line that passes through the point (7, 1) and is parallel to line j, which means that the line has the same slope as line j.

To find the slope of line j, you would use the slope formula: $\frac{y_2-y_1}{x_2-x_1}$ .

Use the points on line j: (4, 1), (-3, -6). Substitute in -6 for $y_2$ and 1 for $y_1$ . Substitute -3 for $x_2$ and 4 for $x_1$ .
$\frac{(-6)-(1)}{(-3)-(4)} \rightarrow \frac{-7}{-7} = 1$
The slope of line j is 1, therefore the equation of the line we are writing will also have a slope of 1 since they must be parallel.

To write the equation of the line, use the point-slope formula because we are given the two things in the name of the formula---a point that the line passes through (7, 1) and the slope of the line (1).

Point-slope form is $y-y_1=m(x-x_1)$
Substitute 1 for $y_1$ , 1 for m, and 7 for $x_1$ .
$y-(1)=1(x-(7))$
Simplify: y - 1 = 1(x - 7)
Distribute 1 inside the parentheses.
y - 1 = x - 7
Add 1 to both sides of the equation.
y = x - 6

The question wants you to find the y-intercept of the equation. To find the y-intercept, make x = 0.

y = (0) - 6
Subtract 0 - 6.
y = -6

A point is shown as (x, y). We made x = 0 and found that y = -6, so if you substitute these values into (x, y) the y-intercept will be (0, -6).

5 0

4 years ago

What is<br> as a decimal rounded to 3 decimal places?

puteri [66]

“Three decimal places” is the same as “the nearest thousandth.” So, for example, if you are asked to round 3.264 to two decimal places it means the same as if your are asked to round 3.264 to the nearest hundredth. Some questions, like the example below, will ask you to “show your answer correct to two decimal places."

7 0

3 years ago

Suppose you would like to save P9000 invested at 8% compounded quarterly for 5 years and 6 months. (Note: Round off your answer

Sever21 [200]

Answer:

a) 13913

b) 4913.82

Step-by-step explanation:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

In this question:

Investment of 9000, so $P = 9000$