my homework is called Changing To the Form y=mx+b . I have to determine the slope and y-intercept of each line and then graph it.
If the line is 2x-y=-4 then would m=2 and b=4?
2006-11-06 10:50:55 · 15 answers · asked by waterisgood 1 in Education & Reference ➔ Homework Help
Yes that will be correct because after you isolate the (y) in other words put it in slope inercect form it would be
y=2x+4
m=2
b=4
2006-11-06 10:56:20 · answer #1 · answered by orangemonkey_04 2 · 0⤊ 0⤋
You are given the line's equation in 'standard form', where X and Y live on the left-hand side of the =, and just a number is on the right. The goal is to get just Y on the left, and everything else on the right; that's 'slope-intercept' form, which is really helpful when graphing the line!
I could list all the moves -- like subtracting 2X from both sides; then, multiplying the entire equation by -1 -- but assuming you knew all that, the resulting equation is:
y = 2x + 4
Read the 'slope' from X's coefficient: m=2
Read the 'intercept' from the number: b=4
You were right!
Graph this line as follows:
1. Find the 'intercept' on the y-axis. Place a dot at 4 on that axis. At this point, y=4 and x=0, so we call that point (0,4).
2. Use the slope to find another point. Since m=2, it is convenient to think of the slope as the improper fraction "2 over 1" or 2/1. Why? Because slope is easily read as "rise over run."
2b. If rise=2 and run=1, let's 'rise' 2 units (now, y=6) and 'run' 1 unit (making x=1). Mark that point ... (1,6).
3. Draw the line that passes through (0,4) and (1,6). That's the line you wanted to graph!
Hope this helped.
- Tim G.
2006-11-06 19:06:19 · answer #2 · answered by Tim GNO 3 · 0⤊ 0⤋
2x-y=-4
First, you have to move some stuff around to make the equation into that form. So it would be:
y=-2x-4
The slope of any equation like this is always the number in front of the x, whether it be an integer, a fraction, a decimal, or anything like that. So the slope of this would be -2. And the y-intercept is always the number after the x, using the sign in front of the number. So this one would be -4. To graph it, plot the y-intercept on a graph, and then turn the slope into a fraction to figure out the next point. So the y-intercept would be on the point (-4,0) and the slope would be found by going down two and right one.
2006-11-06 18:57:16 · answer #3 · answered by love2eat422 3 · 0⤊ 0⤋
This is what you do. Subtract the 2x from the 2x-y. Then you add it to the side with the 4. It will be -y=2x-4. To get rid of the -y divide the other side by -y to get a positive y. Remeber what you do to one side of the equation you do to the other. So your final answer will be:
y= -2x + 4 The x intercept would be 2 and the y intercept would be -4. Hoped that helped some. Been a long time since I have been in Algebra. Hoped that helped and I may not be right.
2006-11-06 18:58:59 · answer #4 · answered by Anonymous · 0⤊ 0⤋
no..you have to put it into slope intercept form y=mx+b so to get that you would subtract 2x from each side to give you -y= -2x+4 then you would want to get rid of the negatve sign in front of the y (think of it as -1) so you would divide both sides by -1 to give you y=2x-4 so now you can find the slope and the y intercept.
slope= 2/1 (up 2 over 1 for graphing)
y-intercept= -4
2006-11-06 18:57:53 · answer #5 · answered by Anonymous · 0⤊ 0⤋
Basically just solve for y:
left side = right side
2x-y = -4
2x-y-2x = -4 -2x (subtact 2x from both sides)
-y = -2x-4 (switch -4 and -2x so that it will look like the y=mx +b form)
-y = -(2x+4) (undistribute the negative sign out)
y = 2x + 4 (cancle out the negative sign)
now the slope is the number before the x which is 2 and y-int is 4
2006-11-06 18:57:55 · answer #6 · answered by Ken 1 · 0⤊ 0⤋
It's called slope intercept form. You need to isolate y on one side of the equation.
If the line is 2x-y=-4, you start by moving the 2x to the opposite side by subtracting from both sides. This leaves you with the equation of -y=-2x-4. In order to get rid of the negative in front of the y, divide both sides by -1. This leaves you with the equation y=2x+4
Your slope would be 2 or 2/1 and your y intercept would be (0,4)
2006-11-06 18:56:16 · answer #7 · answered by Christina S 2 · 0⤊ 0⤋
2x-Y=-4
1st _ subtract 2x fm bothsides 2x - Y = -4
-2x -2x
= Y= -2x + -4
2nd the slope ALWAYS have 2 be a FRACTION so -2 u put as a fraction -2 over 1 and -4 is the Y-int.
3rd now u graph
SORRY it may be hard to understand HOPE i helped U
2006-11-06 18:59:20 · answer #8 · answered by D35I 1 · 0⤊ 0⤋
y=2x+4, m=2 and b=4, yes
2006-11-06 18:53:44 · answer #9 · answered by dreamz 4 · 0⤊ 0⤋
y=mx+b y=2x+4 if you rearrange everything to equal y. so then m=2 and b= 4.
2006-11-06 18:53:34 · answer #10 · answered by silverbull96 2 · 0⤊ 0⤋