Still having trouble with finding the slopes and y-intercept of the line...?

Question

I've been trying to go through pages of results from google and questions asked here, and they're either too complicated or not quite what I have

On the sheet it tells me to find the slope and y intercept of the line. People that need help put out problems that go "y=2x - 3" which doesn't match up with mine.
the first one starts off with:

4y - 2x = -10

now I "think" that the formula is y =mx+b (teacher didn't gave it once in the middle of a problem), m being the slope and y being the intercept so does that mean that..

y is 10 and m=2?

I've struggled with math almost all my life and I'm really stuck on this, any help would be appreciated.

-5y+3x=4

do i..

subtract 3x to both sides 5y+3x-3x=4-3x
then divide by 5y after the work with 3x so it will look like y=(4/5)-(3x/5)

then

y= (-3/5)-(4/5)

m= -3/5
slope= 4/5

did i do this correctly or am i still wrong?

Answer 1

The slope intercept method works when the equation has been transformed into a problem that has the same answers but has the form y=mx+B
4y-2x=-10 is not in the right form.
the first step is to get the y term and the x term on opposite sides of the equal sign.
to do this add 2x to both side of the equation.
4y-2x+2x=2x-10
4y=2x-10
then we notice that the y term has a coeficient other than the number one. To rectify that situation divide both sides by 4
4y/4=2x/4-10/4
y=1/2x-5/2
The equation is now in the form y=mx+b
m=1/2
b=-5/2
The slope is 1/2
The y intercept is -5/2

Answer 2

You take your equation: 4y - 2x = -10 and make it take on the shape
y = mx + b

Thus:

4y = 2x - 10 (from adding 2x to each side) then

y = (1/2)x - 5/2 (from dividing each side by 4 and reducing on the right)

so your slope m = (1/2);

your y-intercept, the point where your line intersects the y-axis, is -5/2, the "b" in your model equation.

Answer 3

You have to take the problem given and find a way to fit it into the y = mx + b equation. To do this, you need to solve your equation for y.

4y-2x=-10
y-2/4x=-2 1/2
y = -2 1/2 + 1/2x

OR

y = 1/2 x - 2 1/2

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

m (slope) = 1/2
b (y-intercept) = -2 1/2

Know what to do with it now?

Answer 4

All you have to do is re-arrange your equation so that it matches the form y=mx+b.

You formula is 4y-2x=-10.
You need to get y on one side by itself.

4y=2x-10
y=(1/2)x-(5/2)

Now the equation is in the form y=mx+b, where (1/2)=m and (-5/2)=b. m is the slope and b is the y-intercept.

Answer 5

yes, your right, it's y=mx+b. if the statement given is 4y-2x=-10, then you can put parenthesis around the answers to help you.
(4y)+(-2x)=(-10). then you move everything that does not have a y variable to the other side, in this case, -2x, so you would get:
4y= 2x -10. it is a positive 2x because we switched it from one side to the other. then you make y=1, so you would divide by the coeficcient(sp=?), in this case, 4. so you would get y=1/2x-2and1/5. so m=1/2 and y=-2and one-fifth. hope that helps!

Answer 6

Y=(-10+2x)/(4) or y=2x-10, here is your slope the coeficient of x, and your y intercept is -10.