Algebra Help?

Question

1. Find the x-intercept of the graph of the equation: x + 6y = 7

2. Find the x-intercept of the graph of the equation: 4x + y = 3

3. Find the y-intercept of the graph of the equation: y - 3x = 4

4. Find the y-intercept of the graph of the equation: 2y + x = 8

5. Find the slope of the line passing through the points: (2,4) and (1,3)

6. Find the slope of the line passing through the points: (2,7) and (5,6)

Answer 1

1.(7,0)
2.(3/4,0)
3.(0,4)
4.(0,4)
5.m=1
6.m=-1/3

Answer 2

Without actually working the problems out,.. here are some pointers:
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Given an equation in (X,Y) and asked to find:

X-INTERCEPT: Set Y=0 and solve for X
Y-INTERCEPT: Set X=0 and solve for Y
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Given two points in (X1,Y1) & (X2, Y2) and asked to find SLOPE, (m):

m = (Y1 - Y2) / (X1 - X2)

ALSO:

m = (Y2 - Y1) / (X2 - X1)

It doesn't matter which is designated as point 1 or 2, you just need to be consistent. Be careful NOT TO DO:
(Y1-Y2)/(X2-X1), you're slope will come out with the wrong "sign".
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MOST IMPORTANT: You need to UNDERSTAND the concepts. Understand WHAT SLOPES and INTERCEPTS are. One of the worst things you can do is try to use a "formula" without understanding what you're solving for; you may as well "guess", it'll be quicker and you'll get about the same results.
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Answer 3

1. 7
2. 3/4
3. 4
4. 4
5. 1
6. -1/3

Answer 4

1. put y=0 x-int=7

2. x-int=3/4

3. put x=0 y-int=4

4. y-int=4

5. m=(y-y')/(x-x')=
(4-3)/(2-1)= 1

6. m=(7-6)/(2-5)= -1/3

Answer 5

set y to zero for x-intercept questions. set x to zero for y intercept questions. Learn something in school. Don't get your answers from the internet.

Answer 6

do ur own damn hw kid!!!!...i would giv u tha answers but im in pre-cal took the damn class bout 3 years ago bak in middle school so i dont really memba dat much....although...#3 is 4 and #4 is 4 also....im too lazy to work the other ones out so juss get ur formula chart out n do 5 n 6