please solve these equations for math?

Question

1. What is the slope of this equation?
y = (2/3)x – 4

2. The point (2, -5) is a solution to which of the following equations?
y = -3x + 1
y = -3x - 5
y = -3x - 3
y = -3x + 5

3. Give three ordered pairs that are solutions to the equation
3x - y = 8.

1. What is the slope of this equation?
y = (2/3)x – 4

2. The point (2, -5) is a solution to which of the following equations?
y = -3x + 1
y = -3x - 5
y = -3x - 3
y = -3x + 5
3. Give three ordered pairs that are solutions to the equation
3x - y = 8.
4. Is the point (-3, 4) on the line y = (-1/2)x – (5/2)?

Please answer yes or no only

Answer 1

PROBLEM 1:

This is already in slope-intercept form of y = mx + b
m is slope (2/3) and b is the y-intercept (-4).

So the answer is simply: The slope is 2/3.

PROBLEM 2:

Try plugging in 2 for x and see if you get -5 for y.

Starting with the first equation:
y = -3(2) + 1
y = -6 + 1
y = -5

Yes, the answer is the first equation.

PROBLEM 3:

Here you can pick any value of x to see what you get for y.

I pick x = 0 first:
3(0) -y = 8
0 - y = 8
y = -8

(0, -8) is one pair

Next, how about x = 1
3(1) - y = 8
3 - y = 8
-y = 5
y = -5

(1, -5) is another pair

Hmm... any x is fine... I'll pick x = 2
3(2) - y = 8
6 - y = 8
-y = 2
y = -2

(2, -2) is a third pair

Other answers are obviously possible such as:
(3, 1), (4, 4), (5, 7), (6, 10), (1/3, -7), etc.

PROBLEM 4:

Is the point (-3, 4) on the line y = (-1/2)x – (5/2)?

Plug in x = -3 and y = 4 and see if the equation comes out correctly. If you get to something like 4 = 4, the point is on the line. If you come out with something like 4 = -1, the point is not on the line.

Answer 2

1. The slope of a line on the form y = kx + m is always = k, and your k is 2/3 so that's what the slope is.

2. Insert 2 as the value for x and -5 as the value for y and try the values out in the different equations to se which of them are satisfied. For example take the first equation:

y = -3x + 1 <=> -5 = -3*2 + 1 <=> -5 = -5. Yup, it seems to be right. The line will go through this point.

3. What you can do here is that you first rewrite the equation so that you get a formula for one of the variables, say y, so you get it in this form: y = 3x - 8. Now you have a formula for y, if you make up an x-value and insert it to the formula you will get the y value belonging to the x-value. And since the pair is ordered, I guess x will come first and y second.

>> 4. Is the point (-3, 4) on the line y = (-1/2)x – (5/2)?
Do as you did in the second task. Set x = -3 and y = 4 and check if the values satisfies the equation.

Answer 3

1) Slope is 2/3

2) first choice: -3x+1 = -3(2)+1 = -5

3) (2, -2); (3, 1); (4, 4); (5, 7)... (bump x up 1, bump y up 3)

additionally: 4. Is the point (-3, 4) on the line y = (-1/2)x – (5/2)?

4) y when x = -3 is (-1/2)(-3) – (5/2) =3/2 -5/2 = -1
Answer: No, but (-3, -1) is.

Answer 4

i hate slopes...unless they are for skiing. good luck with that!