# Algebra I

When given a point on a graph, (3,5) and the slope (-2), how do I find another point on the graph?

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1. I assume you mean another point on the LINE.

If it is a line, y=mx+b

5=-2*(3) + b or
b=11

y=-2x + 11 So for any x on the line, compute the y.

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bobpursley
2. Derive the equation for the graph.
It can be written
(y-5)/(x-3) = slope = -2
y-5 = -2x + 6
y = -2x + 11

Choose the x value you want for any point on the graph, and use that formula to compute the corresponding y value. For example, if x = 0, y = 11. If x = 11, y = -11

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