SOLUTION: given the linear equation (y-4)=-(x-1), what is the point and what is the slope?
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Question 883103: given the linear equation (y-4)=-(x-1), what is the point and what is the slope?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
That equation is in point-slope form. This form shows you the slope and a point on the line.
Assuming you know and understand the formula for slope of a line, you could have a variable point (x, y) and a known given point (u, v). Slope is vertical change divided by horizontal change:
.
You have seen, studied, and exercised with this formula.
Try multiplying the left side and the right side of the formula by .
, point-slope form.
You can see plainly the placement of the the slope, m; and the coordinates of the included known point (u, v).
Compare the two forms:
----------------
y-v=m(x-u)
----------------
y-4=-(x-1)
----------------
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