Answer:
- y -5 = -7(x +3)
- y = 7
Step-by-step explanation:
The point-slope form of the equation can be used for this. It is generally written as ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
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1. For m=-7, (h, k) = (-3, 5), the equation is ...
y -5 = -7(x +3)
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2. For m=0, (h, k) = (4, 7), the equation is ...
y -7 = 0(x -4)
y = 7
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<em>Comment on the form of the answer</em>
Since a point and slope are given, "<em>the</em> equation" is appropriately written in point-slope form. For the second problem the simplified version would be ...
y -7 = 0
Sometimes, "<em>the</em> equation" means the answer is expected in slope-intercept form. In that case, a little rearranging is necessary for the first answer. It becomes ...
y = -7x -16
There are perhaps a dozen different forms that a linear equation can be written in. Considering those, "the equation" is somewhat ambiguous. Your curriculum materials may offer a clue as to the form intended.
