Without drawing the graph write the slope and y-intercept of each line.
a. y=3x+5
b. y=1/2x+3
c. 2y=4x-1
d. 2x+3y=9
e. 3x-4y=8
2006-12-06 08:14:34 · 10 answers · asked by artistmartista 1 in Education & Reference ➔ Homework Help
First of all to solve the problem you need to know the slope-intercept equation: y=mx + b
Also the Y-intercept is (0,b)
The X intercept is (a,0)
For the first problem your y intercept is whatever "b" is. In this case the y intercept is 5.
Now for the slope. The slope is your rise/run or y2-y1/x2-x1 or -y1-y2/-x1-x2. Also, in the slope-intercept form, the slope is m. In the case of the first problem, y=3x+5, the slope is 3 because looking at our formula y=mx+b, "3" is in the place where the slope is.
Now for problems with a coefficient that is NOT equal to 1, such as your problem 2y=4x1, you need to get the problem in y=mx+b form. To do so, divide by each term in the problem to get y by itself. (2y/2 is 1, or "y", 4x/2 is 2x, and -1/2 is -1/2.) You have now rewritten the problem in the correct form. y=2x-1/2.
Lastly, we come to a problem where we need to rearrange the equation. The fifth problem is a great example on how to do this.To get your problem in the correct form you need to subtract -3x from both sides. You are subtracting a -3x from both sides because you have a positive 3x. To get the -4y by itself, you need to subtract from both sides. Once you do that, the problem will read:
-4y=-3x+8
You now need to divide all terms in the equation by a -4. You will end up with y=3/4x-2. Remeber that when you divide -4 into a -3, you end up with a positive 3/4, because a negative divided by a negative is a positive.
2006-12-06 08:32:15 · answer #1 · answered by Anonymous · 0⤊ 0⤋
for the typical formula of y = m*x + b, m will be the slope and b will be the y intercept. You should do some algebra to get them into that form.
For starters:
2y = 4x - 1 divided both sides by 2
2y/2 = y
4x/2 = 2x
(-1)/2 = -(1/2)
this leaves you with y = 2x - 1/2
looking back at y = mx + b you can see that m = 2 and b = -1/2
2006-12-06 16:19:06 · answer #2 · answered by electrophoenix 1 · 0⤊ 0⤋
the slope is what comes before the x..so transform the other equations so that they look like the first one...the y intercept is the number thats all by itself...
a = 3 , 5
b = 1/2 , 3
c = 2 , -1/2
d = -2/3 , 3
e = 3/4 , -2
2006-12-06 16:17:52 · answer #3 · answered by In love with love 2 · 0⤊ 0⤋
Pick out random values for x and y that satisfies the equation so for a if if x=2 then y=11 and if x=1 then y=8 I did this by pluging in the values. Then you use the slope formula y2-y1/x2-x1 which in this case would be 11-8/2-1=3
2006-12-06 16:18:43 · answer #4 · answered by Anonymous · 0⤊ 0⤋
Basic equation of a line is Y = mX + b, where m is the slope and b is the y-intercept. Convert your above equations to this form and the slope is the X coefficient.
2006-12-06 16:23:38 · answer #5 · answered by wcholberg 3 · 0⤊ 0⤋
a. slope=3, intercept=5
b. slope=1/2, int. = 3
c. slope= 2, int.= 1/2
d. slope= -2/3, int.= 3
e. slope= 3/4, int.= -2
2006-12-06 16:18:13 · answer #6 · answered by the_darkness1900 1 · 0⤊ 0⤋
Solve each for y. The coefficient(the number before x) is your slope. The constant is your y intercept.
For the first one, it is already in y= form. So the slope is 3 and the y intercept is at (0,5)
2006-12-06 16:20:32 · answer #7 · answered by tamana 3 · 0⤊ 0⤋
a m=3 yint =5
b m=1/2 yint=3
c m=2 yint=-1/2
d m=-2/3 yint=3
e m=3/4 yint=-2
2006-12-06 16:24:10 · answer #8 · answered by Jim M 3 · 0⤊ 0⤋
y = mx+b
m=slope
b= y-intercept
a. m=3 b=5
b. m=(1/2) b=3
c. m=2 b=(-1/2) or (-0.5)
d. m=(2/3) b=(-3)
e. m=(3/4) b=(-2)
2006-12-06 16:20:24 · answer #9 · answered by Joshua Z 4 · 0⤊ 0⤋
do graph it, good practice
y=mx+b
2006-12-06 16:17:47 · answer #10 · answered by kurticus1024 7 · 0⤊ 0⤋