What is the absolute value of negative one and one-third? -1 1/3

A line passes through the points (-1, -1)

Allisa [31]

Given:

A line passes through the points (-1, -1) and (5,8).

To find:

Which points lie on the same line?

Solution:

If a line passes through two points, then the equation of the line is:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

A line passes through the points (-1, -1) and (5,8). So, the equation of the line is:

$y-(-1)=\dfrac{8-(-1)}{5-(-1)}(x-(-1))$

$y+1=\dfrac{8+1}{5+1}(x+1)$

$y+1=\dfrac{9}{6}(x+1)$

$y+1=\dfrac{3}{2}(x+1)$

Multiply both sides by 2.

$2(y+1)=3(x+1)$

$2y+2=3x+3$

$2y=3x+3-2$

$y=\dfrac{3}{2}x+\dfrac{1}{2}$

So, the equation of the line is $y=\dfrac{3}{2}x+\dfrac{1}{2}$ .

Now, check each point for this equation.

Putting $x=-3$ , we get

$y=\dfrac{3}{2}(-3)+\dfrac{1}{2}$

$y=\dfrac{-9+1}{2}$

$y=\dfrac{-8}{2}$

$y=-4$

Similarly,

For $x=9,y=15$ .

For $x=1,y=2$ .

For $x=4,y=6.5$ .

For $x=3,y=5$ .

For $x=-2,y=-2.5$ .

Therefore, the points (-3,-4), (9,14), (1,2) and (3,5) lie on the same line but the points (4,7) and (-2,-2) are not on that line.

6 0

3 years ago

The amount of money in your savings account after m months is represented b A = 135m + 225 . After how many months do you have $

r-ruslan [8.4K]

You just have to rearrange the formula.
So:
765 = 135 x m + 225
765 - 225 = 135 x m
540 = 135 x m
m = 540 / 135
m = 4

So four months.

6 0

3 years ago

Read 2 more answers

The diameter of the circle is 10 units what is the radius of the circle

gayaneshka [121]

Answer:

Radius is 5 units

Step-by-step explanation:

The radius of a circle will always be 1/2 of the diameter.

This gives the formula:

$r=\frac{d}{2}$

(substitute known values)

$r=\frac{10}{2}$

(divide 10 by 2)

$r=5$

Therefore the radius is five

4 0

2 years ago

Solve the following system of equations by substitution. 3x + 2y = -12 x = 2 A. (2, -9) B. (-2, -3) C. (3, 2) D. (2, 3)

Brilliant_brown [7]

Plugging it in, we get (3)(2)+2y=-12 and 6+2y=-12. Subtracting 6 from both sides, we get -18=2y and dividing by 2 we get y=-9 to get (2, -9) since x is first in the pair

4 0

3 years ago

Y=3/4 x-4

pochemuha

Answer:

see graph of y=3/4 x-4

Step-by-step explanation:

Assuming you mean

$y = \frac34x - 4$

Below is a graph of that one. The slope is 3/4 and the interception with the y axis is at y=-4. The equation is in its normal form y=ax+b with a=3/4 (slope) and b=-4 (y intercept), so no conversion needed.

You have to be careful on how you write these equations down. It might very well be that you meant:

$y = \frac{3}{4x-4}$ or $y = \frac{3}{4x} - 4$

However, those are more complex so I'm hoping for the first one... ;-)

8 0

3 years ago