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Answer:
a) y +2 = (4/3)(x -3)
b) 4x -3y = 18
Explanation:
a) The slope formula gives part of what is needed for point-slope form:
m = (y2 -y1)/(x2 -x1)
m = (2 -(-2))/(6 -3) = 4/3
Point-slope form is ...
y -k = m(x -h) . . . . . . for slope m and point (h, k)
Using the first point, we get ...
y +2 = 4/3(x -3)
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b) Multiplying by 3 and eliminating parentheses, we get ...
3(y +2) = 4(x -3)
3y +6 = 4x -12
Adding 12 -3y to both sides gives ...
18 = 4x -3y
Putting this in the usual form, we have ...
4x -3y = 18