Question

If A(2;2) and B (-3;4 1/2) determine the equation of AB ,in the form y=m+c

Answer 1

Answer:

y=-0.5x+3

Step-by-step explanation:

When the line moves 5 units across it moves 2.5 units down.

Using rise over run we know that the gradient is -2.5/5 or -0.5.

Since the gradient means that going one unit right moves 0.5 of a unit down if we go across 3 from point be we get to the x=0 and know that we must have moved 1.5 units down.

This means the line crosses the y axis at (0,3).

When we put this into form y=mx+c we know that m=-0.5 and c=3.

Therefore y=-0.5x+3.

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