Question 534566
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)
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2. slope 2, y-intercept -4
Use the slope-intercept form:
y = mx + b
y = 2x -4
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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
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4. passes through (1,2) with slope -5/3
Form y = mx + b
You are given x,y, and m; solve for "b":
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2 = (-5/3)*1 + b
b = 6/3+5/3 = 11/3
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y  (-5/3)x + (11/3)
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Cheers,
Stan H.