First, find the slope:

m = (4 – 4) / (-3 – 1) = 0 / -4 = 0

Then write the equation using one point and the slope.

y – 4 = 0(x – 1)

y – 4 = 0

y = 4

2.

Any line parallel to the x-axis has an equation in the form

y = #

Since the y-intercept is 6, your equation is

y = 6

3. Solve the following system of equations:

#1: 2y + 3x = 1

#2: -7x – 5y = -4

Solve one equation for one variable. (I’ll solve #1 for y)

2y + 3x = 1

2y = 1 – 3x

y = (1 – 3x) / 2

Now put that in the other equation and solve for the other variable.

-7x – 5y = -4

-7x – 5[(1-3x)/2] = -4

(Multiply everything by 2 to eliminate fraction)

-14x – 5(1 – 3x) = -8

-14x – 5 + 15x = -8

x – 5 = -8

x = -3

Now put that back into either equation to solve for the missing variable.

2y + 3x = 1

2y + 3(-3) = 1

2y – 9 = 1

2y = 10

y = 5

4.

I can’t understand your equations. But you’ve seen how to do #3, so you should be able to at least TRY #4 yourself.

5.

First, simplify both equations

#1: 2x – 3y = 2 – x

3x – 3y = 2

#2: 3x – 2y = -2 + y

3x – 3y = -2

Notice that both equations are identical on the left side, but different on the right.

That means there is “no solution” – these are two parallel lines, so they will never intersect.

1. x=4

2. y=6

3. {x=13, y=-19}

4. uhm…. i kinda didn’t get the problem :p it’s kinda vague…

5. there’s no solution… x’s and y’s cancel each other…