HELP! I need step by step examples for finding slope and y-intercept!?

Question

I am having trouble understanding how to find the slope and y-intercept of an equation. My math explains this but not enough for me to understand. I just need somebody to give me a step by step example so that I can have a better understanding. The given equation is x + 2y=3.

Thanks!

Answer 1

To find the slope and y-intercept of a line when you're given an equation you have to rearrange what is given to get y alone on one side of the = sign. Once y is alone on one side you will have the form y = mx + b (where m is the slope and b is the y-intercept). Always remember that m is the number in front of x and b is the number with no variable.

So for your question x + 2y = 3
Step 1. subtract x from both sides
2y = -x + 3 (try to always right the x first)
Step 2. divide every term by 2
y = -1/2 x + 3/2
Step 3. identify m and b
m = -1/2
b = 3/2

Hope this helps.

Answer 2

To find slope and y intercept try to get the equation in the form
y = mx + b
m will be the slope and b the y intercept

x + 2y = 3
2y = 3 - x
y = 3/2 - 1/2x = -1/2 x + 3/2

-1/2 is the slope and 3/2 is the y intercept

Other way to find the y intercept is making x=0 in your equation

0 + 2y = 3
2y = 3
y = 3/2

I hope it helps.

Answer 3

This is a example

So the formula is: y=mx+b
and they either give you points like ( 5, 8 ) or you find one.
So suppose they gave you ( 2, 4 ) & (3,6)
Find the slope.. because you can with these 2 points
Slope= y2-y1 OVER x2-x1
then you have m for slope
then plug in the x and y numbers
and find B for y intercept
if its on the graph look at which the 2 lines meet

the best way to understand it is going on YOUTUBE VIDEOS

Answer 4

To find your slope take your two coordinates(a1, a2) and (b1, b2)
use the following equation to find slope
b2-a2=__
divided by
b1-a1=__

then use the equation y=mx+b
plug in x and y from any one of the coordinates. Plug in the slope for m then slove for b. B will be your y-intercept.

For your problem:
x+2y=3, all you need to do is put the equation in slope intercept form (y=mx+b) by moving the variable x to the other side and dividiing by 2.
x+2y=3 equation
-x -x subtract x from both sides
2y=-x+3 new equation
/2 /2 divide both sides by 2 to isolate y
y=-1/2x+1 1/2 final equation

-1/2 (-.5)=slope
1 1/2 (1.5)=y-intercept

If you have to graph the equation, plug in a number for x and solve to see what y is. It's best to use 0 for x and then try to get y to be 0 for the next coordinate.

Answer 5

Ok. So we know that x stands for the x-coordinate on the graph, and that y is the y-coordinate. First, you have to put it in y=mx+b form. (that translates as y-coordinate=slopetimesx-coordinate + y-intercept) the y-intercept is where the line hits the y axis. So, you make this particular equation 2y= -x+3. Now, you have to get the y by itself, so divide the entire equation by "2" so as to eliminate from the y (2divided by 2 is one; problem solved). When you divide by 2, you end up with y=-1/2x + 3/2. Therefore, your slope is -1/2, and your y-intercept is 3/2.

hope that helped.

Answer 6

From the 1st equation, y = 3x - 5 rewrite the final formulation, y = mx + b the place m is the slope and b is y-intercept by making use of comparing, so, m=3, b= -5 From the 2d equation, 3x - 2y = 5 rearrange the equation, y = 3/2 x - 5/2 so, m=3/2, b= -5/2

Answer 7

Well, you could find it in slope-intercept form, OR use the much simpler way using Ax+By=C:
Slope= -A/B
Y-intercept= C/B
X-intercept= C/A
So plug in the Problem:
x+2y=3
Slope= -A/B
Slope= -1/2
Y-inetercept= C/B
Y-intercept=3/2
So, m= -1/2; b=3/2.
Much more simple.

Answer 8

x+2y=3
express with y as the subject
add -x
2y=-x+3
divide by 2
y=(-1/2)x+(3/2)
the coefficient of x is the slope
so slope=-1/2
the constant is the 'y' intercept
so y intercept=3/2

Answer 9

y = mx + b, where b is the y intercept and m is the slope.

x + 2y = 3
2y = -x + 3
y = -1/2 x + 3/2

so, your slope is -1/2, and your y intercept is 3/2.

Answer 10

The formula for the slope is (y2 subtracted by y1) divided by (x2 subtracted by x)
First find the coordinates (both) on the graph, make one the coordinates number 1, and the other number 2. Take the X's(first numbers) and Y's (second numbers) out of the coordinates, now just do the formula.
(Y2 - Y1) / (X2 - X1) must be subtracting from second coordinates