MATH HELP!!!! geometry review! ?

Question

find the slope of the line containing the indicated points.

1.) (3,0) and (-3,4)

2.) (2,6) and (1,5)

also....

Identify the slope(m) and the y-intercept(b) for each line.

1.) 3x+4y=6

2.) -2x-y=4

thank you sooooo much!!!!!

Answer 1

ok..since im just THIS bored...1. (at the top) m= -3/2

2.-1/-1 idk what that turns out to be...1 i think

1. (at the bottom) -3/4=m b=3/2

2. m=-2

b= -4

Answer 2

the formula for slope of a line is Y2-Y1/X2-X1

in the first case                      4-3/-3-0=  1/-3= -1/3

similarly the second one

/ means divide

when an equation is given and you are asked to find the y intercept solve the equation for y

for the 1st one        4y=6-3x

                             y=6-3x/4

then set  x= 0 so it will be 6/4 which is 3/2 which is 1.5

in the same  way if they ask you the slope of the line

it is simple you solve for y as you did and the slope is the co efficient of x in this case

6-3x/4 can be written as y=6/4-3x/4 so the slope is -3/4

use the  sign as well

Answer 3

The equation for finding the slope of a line is

m=(y2-y1)/(x2-x1)

Therefore:

(4-0)/(-3-3)=-2/3

(5-6)/(1-2)=1

For your next set: y=mx+b where m is your slope, and b is your y intercept.

First you must put your equations into slope-intercept form by:

3x+4y=6

divide all this by 4 (to get y alone)

this gives you: 3/4x+y=2/3

move y to the right side: 3/4x=2/3-y

now move 2/3 to the left side: 3/4x-2/3=-y

because you can't have a negative y, divide by -1 on both sides: -3/4x+2/3=y

So: your slope=-3/4 and your y intercept is 2/3

2.)  -2x-y=4

-2x=4+y

-2x-4=y

slope: -2, y intercept: -4

Answer 4

well... i dont like giving answer but since i cant verbally talk to u i guess ill type it... to find the slope it is   : (y-y)/(x-x) such as (4-0)/(-3-3)which is equilivant to -2/3 u can do #2 by urself... ok and the slop on bottom is considered as :  3X+4Y=6 which is Y=(-3/4)X+3/2 so the slope is -3/4 and y intercept is 3/2... hope this helps