Math help...Thanks in advance!?

Question

1:Which of the following equations has a slope of ½ and a y-intercept of -2?
A:y = -2x + ½
B:y = ½x + 2
C:y = ½x - 2
D: ½x - 2y = 4

2: Write the equation of the line that contains the points (2, 2) and (-3, 12).
Here is part of the answer. Please identify the missing part?
y = -2x + ___

3:Match the terms with the definitions.
Term Definition
m = 2, b = -4 A) y = 2
m = 2 and contains the point (0,4) B) y = 2x + 4
m = -4 and contains the point (0,2) C) y = 2x - 4
m = 0 and contains the point (0,2) D) y = -4x + 2

4:Which equation has a slope of 2 and contains the point (4,-4)?
A: y = 4x - 4
B:y = 2x + 2
C: y = 2x - 12
D: y = 2x - 4

5: The line y = 3x + 5 crosses the y axis at ______?

6:Write the equation of a line which contains the point (2,4) and (-2,2)
y = -2x + 2
y = 2x + 4
y = ½x + 3
y = -4x + 2

Answer 1

1. C
2. y = -2x + 6
3. C
4. C
5. -5/3
6. y = (1/2)(x-2)+4 = (1/2)x + 3

Answer 2

Just giving you the answers is called doing your homework for you...

1. the equation of a line is y = gradient*x + y-intercept

2. a couple of ways to solve this
a) you can plot the line on a bit of paper and see where it crosses 0
b) you have been told that the line has a gradient of -2 - so from either (2, 2) or (-3, 12) take -2 away from the y for every x you add (or add 2 to the y for every x you take away) until you have x=0. This is your y-intercept.

3. m is the gradient, you have the intercept defined as either b or a co-ordinate. Use the information supplied in question 1 to select which is the only line of A to D which fits the given numbers (only one does)

4. You know the slope is 2 which immediately rules out A
To find the intercept you need to go back from the known point (x, y) (4, -4) by however many steps away you are on the x-axis times the gradient.
Or you could plot the point (4, -4) roughly and work out about where you will end up on the y-axis if you have to go back with a positive (downhill for positive x) gradient of 2.

5. See question 1

6. To find the gradient you want to find the difference in the y values (4-2)=2 and divide it by the difference in the x-values (2--2)=4 - so gradient =2/4 = 1/2
Then do as discussed in previous questions to find the intercept.

Answer 3

1. y = mx + b where m = slope and b = y intercept
So the answer is C

2.2 = -4 + b so b = 6
equation is y = -2x + 6

3.
m = 2, b = -4 C) y = 2x - 4
m = 2 and contains the point (0,4) B) y = 2x + 4
m = -4 and contains the point (0,2) D) y = -4x + 2
m = 0 and contains the point (0,2) A) y = 2

4. again y = mx+ b ..... -4 = 2(4) + b and b = -12
The answer is C

5. This is where x=0 so the answer is y= 5

6. m = (2 - 4)/(-2 - 2) = 1/2
y = mx + b and 4 = (1/2)2 + b so b = 3
t = (1/2)x + 3

Answer 4

The time it took you to write this whole problem out, you could have been done with your homework... This is a tool to HELP you... not to give you the answers... sorry dude... not gonna GIVE you the answers... I'm sure somebody else will tho...

y=mx+b

m= the slope
b= the y intercept... that is all you need to know... DO IT YOURSELF!