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Find the slope and y-intercept for the following line.

3x + y = 9


and

Find the slope and y-intercept for the following line.

2x - y = -4

2007-04-30 10:43:20 · 10 answers · asked by soccerstar11 3 in Science & Mathematics Mathematics

10 answers

Slope for the first one is 3
and y intercept is 9

for the second one slope is 2
and the y intecept is 4

what you do is bring the 3x and 2x over to the other side. the number infront of x is the slope and the integer after it is the y intercept.

y=mx+b

m=slope
b=y-intercept

2007-04-30 10:48:01 · answer #1 · answered by tigerlvr808 2 · 1 1

y = a + bx is the form you use to identify your slope and y intercept.

a is the y intercept;

so if x = 0 no matter what b is, y = a

b is the slope. This will tell you how fast the line climbs or falls depending on the sign of b.

if b is positive, the line will go up

if b is negative, the line will fall

So you first need to change the equation so that y is by itself like so.

y = 9 - 3x

in this form it is very easy to find the slope and the y intercept

y intercept = 9

slope = - 3



y = 4 + 2x

y intercept = 4

slope = 2

2007-04-30 17:57:34 · answer #2 · answered by Keith 2 · 0 0

The easiest way to find the slope and y-intercept of any line is to put the equation into y=mx+b. The slope then will be m and b will be the y-intercept.

3x+y=9
subtract 3x
y=-3x+9
The slope is -3 and the y-intercept is 9

2x-y=-4
Add y
2x = y-4
add 4
2x+4=y
Switch it around
y=2x+4
So, 2 is your slope and 4 is the y-intercept.

2007-04-30 17:51:36 · answer #3 · answered by danjlil_43515 4 · 0 0

Slope intercept form is when the equation is written as
y = mx + b

So just rewrite your equations in that form
3x + y = 9
y = -3x + 9
Slope = -3, y intercept = 9

2x -y = -4
y = 2x + 4
Slope = 2, y intercept = 4

2007-04-30 17:51:02 · answer #4 · answered by dogsafire 7 · 0 0

slope for first one is 3 over 1 and intercept is 9
slope for next one is -2 over 1 and 4 the other person forgot to divide by negative 1

2007-04-30 17:49:52 · answer #5 · answered by jose 536 1 · 0 0

Standard form of a line
y = mx + b where m is the slope and b is the y intercept

3x + y = 9
y = -3x + 9
slope is -3 and the y intercept is 9

You can do the second one.

2007-04-30 17:48:51 · answer #6 · answered by zeb 4 · 2 0

OK, so the equation for the Slope, as you probably already know is: Y=mx+b

But what you probably don't know is it can be written another way:

Since, m is the Slope=Rise of the line/(over)Run of the line, which can and should be written:
(Ysub2-Ysub1)/(over)(Xsub2-Xsub1)

The equation re-written is:
Y=(Ysub2-Ysub1)/(over)(Xsub2-Xsub1) x+b

Plug in your values for x & y setting the opposite value to zero as you go from -4,-5,-3,-2,-1, 0, +1, +2, +3, +4, +5
and graph it such that you solve:

3x + y = 9
3x-3x+y=-3x+9
y=-3x+9

and
2x - y = -4
-2x+2x+y-y=-4+4-2x such that
y=2x+0

2007-04-30 18:06:08 · answer #7 · answered by Ke Xu Long 4 · 0 0

Get each eq in the form
y = mx + b

Then m will be the slope and b will be the y intercept.

2007-04-30 17:50:20 · answer #8 · answered by Steve 7 · 0 0

1)3x+y=9
Subtract 3x from both sides:
y=-3x+9
slope:-3
y-intercept:9

2)2x-y=-4
Subtract 2x from both sides:
-y=-2x-4
Divide -1 from both sides:
y=2x+4
slope:2
y-intercept:4

2007-04-30 17:48:56 · answer #9 · answered by Anonymous · 1 0

-3,9
2,4

i did that a long time ago.

2007-04-30 17:51:21 · answer #10 · answered by afmooseluvrx3 4 · 0 0

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