Whoever answers this math question will be voted best answer!!!!?

Question

I need some help with algebra homework. I have to use only the slope and y-intercept to graph each equation.

Could you please explain to me thoroughly how to graph the following equations: y= -x + 5

3x - y = 6

and

x + y = 8.

Whoever helps me get the correct answers, I will vote best answer.

Answer 1

1. start at (0, 5), then plot a point 1 unit to the left, and 1 unit up, so (-1, 6). continue this pattern, then connect the points

2. this becomes y=3x-6

start at (0, -6) then plot a point 1 unit to the right, and 3 units up. so (1, -5) continue this pattern and then connect the points.

3. this becomes y=-x+8

start at (0, 8) then plot a point 1 unit to the left and 1 unit up. so (-1, 9)

continue this pattern, then connect the points.

please help with mine ♥♥♥

http://answers.yahoo.com/question/index;...

Answer 2

First off, you need values (or coordinates / points) that can satisfy your equations.

EQ1: Let's start with eq1. y = -x + 5

Let's assume that y = 0. If y = 0, then:

y = -x + 5

0 = -x + 5 ---> Add -5 to both sides and...

-5 = -x + 0

x = 5

so, if your y=0, then x=5. To graph this point, you need to start from the origin (0,0), then count 5 units to the right, then 0 units up. Mark that point as (5,0).

Next, let's assume that this time, x = 0. So...

y = -x + 5

y = -0 + 5

y = 5

So, if we have x=0, y=5. To graph this point, you need to start again from the origin and then count five units upwards, then o units to the right. You now mark this point as (0,5).

You now have two points. Connect these two, and you have plotted the line y = -x + 5

EQ2: For the second line: 3x - y = 6, you need to change the problem first to the form y = mx + b. I'll assume you know what I'm talking about, but just in case, your equation should look like this after changing it: y = 3x - 6

Why it became like that: You would have to move the elements a bit..

3x - y = 6 ---> you need to change it to y = mx + b, so...

-y = -3x + 6 ---> we moved it around a bit so that only y is on one side. But since we cannot have a y with a negative value, we must multiply the whole eq by -1 to make it positive

(-1)-y = (-1)-3x + (-1)6 ---> so...

y = 3x - 6

Now that you have the eq in y=mx+b form, just follow the steps you used in EQ1.

EQ3: Again, we have to transform this to y = mx + b.

By moving it around a bit (like in EQ2), we can come up with:

y = -x+8

Again, follow the steps as in EQ1, and you'll be able to graph this equation.

Answer 3

This could take a while. Looking in your notes would be much easier,

Ok, so the basic formula for a graph is y=mx+c. y and x are obviously the two axes of the graph, whereas m is the gradient of the line, and c is the y-intercept, or where the line crosses the y axis.

This is the formula for a straight line graph.

The first of your questions is simple. It has a gradient of -1, so that it can be drawn from the top right to the bottom left of the graph, and for every graph square that you go down, you go 1 across. The line also crosses the y axis at +5.

The next questions are more difficult. You have to rearrange them first. 3x-y=6 can be rearranged to form y=3x-6. This means that you plot it bottom right to top left, for every one square you go across, you go three up (this is the gradient), and it crosses the y- axis at -6.

Rearranged, the final one is y= -x+8. This is very similar to the first.

Hop this helps.

Will.

Answer 4

3x-y=6 x=5 and y=9 and x+y=8 x is 3 & y=5 so you make a graph with positive and negative numbers figure out the answers to the equation and graph away. I hoped that helped Sweetthing. If it didn't let me know and I promise I'll try harder!

Answer 5

for y=-x+5, the slope is -1 and the y intercept is 5

for 3x-y=6, you have to get the y by itself so you'd move 3x over to the other side of the equation to -y=-3x+6, then divide both sides of the equation by -1 to find y, which will be y=3x-6, so the slope is 3 and the y intercept is -6.

for x+y=8 do the same thing, get the y alone by subtracting the x to the other sided which would leave y=-x+8, so slope is -1 and y intercept is 8.