1) This equation is in standard form: y = (-1) x + 0. The slope is -1 and the y-intercept (and x-intercept) at (0, 0).

Negative slope just means that the graph of the line goes from upper left to lower right: as x goes to the right, y decreases. Graph y = -x and see!

2)”y is a function of x” just means that if you choose a value of x, the formula gives the corresponding value of y. If it’s really a function, then for every x there WILL BE a value of y, and there will be JUST ONE.

In your example, f(3) means the result of plugging in x = 3 in the righthand side, so f(3) = 1/(2(3)) = 1/6, f(1/3) = 1/(2(1/3)) = 3/2, f(5a) = 1/(10a), etc.

3) Best way to write your expression in YA is to use parentheses for grouping. To work it out, group the constants and the terms involving x separately, then it’s easy.

8 – x – (4+2x)/3 = 8 – x – (4/3) – (2/3)x = (8 – 4/3) + (-1 – 2/3)x,

now your result follows from simplifying the fractions.

1. Yes, slope is -1 and Y intercept is 0. If you graph this you will see line going thru the origin (0,0). The slope is defined (-1)and it is moving down to the right 1 unit by 1 unit at a time (rise/run). In this case it is not rising, it is falling (negative).

2. Functions are a little hard to explain, your book should do a good job. But basically for each x value there is only 1 y value. In your example f(x)= 1/2x if you substitute 2 for x you have:

f(x)=(1/2)*(2) = 1

So your x value is 2 (input) and your y value is 1 (output). Any number you substitute for x you will get a similar answer y (in this case half of what you put in.)

3.Use parentheses to clear up your question. Is your question:

(8-x) – [(4+2x)/3]

1) the slope is -1 and the line passes through the origin (0,0)

To graph, start at (0,0), then go right l on the x axis and drop 1 on the y axis, and place a dot. Then do it again. Draw the line.

2. To get the coordinates you need, put a value in for x and get a value for y(which is a function of x). f(x) is basically finding the y value.

example. f(x)=1/2x, So, you might say x=10, then f(x) is 1/2of 10 or 5. Your coordinates are (x,y) (10,5) (12,6) (16,8).

y is 1/2 of x. You pick numbers for x, put them in the equation and get values for y.

f(x)=1/2x f(10)=1/2(10) or 5

Slope intercept style is y=mx+b the place m is the slope and b is the y-int. (which potential the y coordinate while x is 0) If it passes by using (3,5) then you definately might desire to paintings backwards on the line woth your slope. IMy instructor consistently taught me upward thrust over run: which potential upward thrust (the substitute interior the y value) over run (the substitute interior the x value) hence it particularly is 4 over a million. in the experience that your slope is 4 which potential it rises 4 and is going over a million then paintings backwards. If it is going by using 3, 5 then it additionally is going by using 2,a million and a million, -3 and nil, -7 while x is 0 then the y is your y-int. it particularly is likewise talked approximately as b. subsequently, y=4x-7