Download Writing equations given a point and the slope of the line

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Writing equations
given a point
and the slope of a
line
Solve for b
4 = -2 ∙ 3 + b
4 = -6 + b
+6 +6
10 = b
Solve for b
-8 = (-2)(-11) + b
-8 = 22 + b
-22 -22
-30 = b
Write the equation of the line that goes
through point (6, -3) and has a slope of -2
m
x y
Y = mX + b
-3 = (-2)(6) + b
-3 = -12 + b
+12 +12
9=b
Y = -2X + 9
Write the equation of the line that goes
through point (6, -7) and has a slope of ⅔
m
x y
Y = mX + b
-7 = (⅔)(6) + b
-7 = 4+ b
-4 -4
-11 = b
Y = ⅔X - 11
Write the equation of the line that goes through
point (2, 9) and is parallel to the line Y = 2X + 3
xy
m
Y = mX + b
9 = (2)(2) + b
9 = 4+b
-4 -4
5=b
Y = 2X + 5
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