SOLUTION: given the linear equation (y-4)=-(x-1), what is the point and what is the slope?

Algebra ->  Linear-equations -> SOLUTION: given the linear equation (y-4)=-(x-1), what is the point and what is the slope?      Log On


   

Question 883103: given the linear equation (y-4)=-(x-1), what is the point and what is the slope?
Answer by josgarithmetic(39617) About Me  (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:

m=%28y-v%29%2F%28x-u%29.
You have seen, studied, and exercised with this formula.

Try multiplying the left side and the right side of the formula by x-u.
m%2A%28x-u%29=y-v
highlight_green%28y-v=m%28x-u%29%29, 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)
----------------