SOLUTION: I took algebra in college but am 50 so been a long time, my daughter needs help and I dont understand could you help? Thankyou Algebra Angel

Question 534566: I took algebra in college but am 50 so been a long time, my
daughter needs help and I dont understand could you help?
Thankyou Algebra Angel

write an
equation in slope- intercept, point slope, or standard form for thr
line with the given information please explain why you chose form. 1.
passes through (-1,4) and (-5,2), 2. slope 2, y-intercept -4 3. has
an x-intercept of 6 and a y-intercept of 3 4. passes through (1,2)
with slope -5/3

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1. passes through (-1,4) and (-5,2)
There is a two-point form that can be (but rarely is) used:
y - 4 = [(4-2)/(-1--5)](x--1)
y-4 = (2/4)(x+1)
y-4 = (1/2)x + 1/2
y = (1/2)x + (9/2)
--------
2. slope 2, y-intercept -4
Use the slope-intercept form:
y = mx + b
y = 2x -4
-----------------
3. has an x-intercept of 6 and a y-intercept of 3
You have 2 points: (6,0) and (0,3)
m = -3/6 = -1/2
Now use the slope-intercept form:
y = (-1/2)x + 3
------------------------
4. passes through (1,2) with slope -5/3
Form y = mx + b
You are given x,y, and m; solve for "b":
---------------------------
2 = (-5/3)*1 + b
b = 6/3+5/3 = 11/3
-----
y (-5/3)x + (11/3)
=========================
Cheers,
Stan H.

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