Algebra 1
posted by Alexandra
I've tried so hard on this and I'm completely hopeless, can somebody help me out? Please it would mean a lot. Task 1 find the rate of change for each table, equation, or graph. How did you find the rate of change?
Task 1
A.
X 2 4 6
Y 10 20 30
Rate of change:
How did you find the rate of change:
B.
5x +3y= 2
Rate of change:
How did you find the rate of change:
Write an equation in slopeintercept, pointslope or standard form for the line with the given information. Explain why you chose the form you used.
Task 2
A.
Passes through (1,4), (5,2)
Equation:
Explain why you chose the form you used:
B.
Slope 2 , yintercept 4
Equation:
Explain why you chose the form you used:
C.
Has an xintercept of 6 and a yintercept of 3
Equation:
Explain why you chose the form you used:
D.
Passes through (1,2) with slope
Equation:
Explain why you chose the form you used:
Please help :(

Steve
the rate of change is the slope of the line. That is, if x changes by 1, how much does y change?
In the slopeintercept form, the rate of change (slope) is m, in
y = mx+b
The pointslope form of a line is
yk = m(xh)
where the line passes through (h,k) with slope m. It's just another way of writing
(yk)/(xh) = m
That is, the slope (m) is the ratio of the change in y over the change in x.
I'm sure all of this is explained in your text, with examples.
So, with all this info, you should have a handle on solving the problems you posted.
If you are given a slope and an intercept, choose the slopeintercept form.
If you are given a point and a slope, use the pointslope form.
If you are given two points, figure the slope, then use one of the points and the pointslope form.
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