Question

Graph the line y=-3x+b if its graph goes through the given point.
A (-2, 4)

Answer 1

Explanation:

The line cannot be graphed as written. b is undefined. If the question is to find a value of b such that the line is forced to go through point (-2,4) then we can do the following:

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We need a value of b that causes y = -3x +b to include point (-2,4). Enter that point into the equation and solve for b:

y = -3x +b

(4) = -3(-2) +b for (-2,4)

Solve for b:

4 = 6 + b

b = -2

The full equation that will cause the line to go through point (-2,4) is

y = -3x -2

See the attached graph.