SOLUTION: Okay I have gone over a few examples a couple of times for the following problems and I just don't understand what I am to do. Complete the table of values for Problem 1 y

Question 175580: Okay I have gone over a few examples a couple of times for the following problems and I just don't understand what I am to do.
Complete the table of values for
Problem 1
y=1/3x+2
x | | (x,y)
0 | |
3 | |
6 | |

Problem 2
Using th equation 6x-3y=12
solve for y, identify the slope, and identify the y intercept

Problem 3
I have the points
of (4,6) and (8,18)
How am I suppose to calculate the slopem write the point-slope form of the line through the two points, and then write the equation in a slope-intercept form?

Problem 4
How am I to determine whether the point (0,1),(3,7)and (1,1),(2,3) are parallel?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Okay I have gone over a few examples a couple of times for the following problems and I just don't understand what I am to do.
Complete the table of values for
Problem 1
----
You are given a rule for calculating "y" based on a value of "x".
y=1/3x+2
x | y = 1/(3*0+2) = 1/2; (x,y) is (0,1/2)
0 | y = 1/(3*1+2) = 1/5; (x,y) is (1,1/5)|
3 | y = 1/(3*3+2) = 1/11:(x,y) is (3,1/11)|
6 | etc.

Problem 2
Using th equation 6x-3y=12
solve for y, identify the slope, and identify the y intercept
6x-3y = 12
3y = 6x-12
y = 2x-4
slope= 2
intercept = -4
-----------------------

Problem 3
I have the points
of (4,6) and (8,18)
slope = (18-6)/(8-4) = 12/4 = 3
intercept: The form is y = mx + b , where b is the intercept.
Substitute to solve for "b":
6 = 3*4 + b
b = -6
The intercept is -6
---------------
The slope-intercept form of the equation is:
y = 3x-6
----------
How am I suppose to calculate the slope (m), write the point-slope form of the line through the two points, and then write the equation in a slope-intercept form?
-----------------------------
Problem 4
How am I to determine whether the point (0,1),(3,7)and (1,1),(2,3) are parallel?
Look at the slopes:
(7-1)/(3-0) = 6/3 = 2
(3-1)/(2-1) = 2
------------
The slopes are the same so the lines are parallel.
======================================================
Cheers,
Stan H.

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