The graph of a line in the xy-plane passes through the point (1, 4) and crosses the x-axis at the point (2.0). The line crosses the y-axis at the point (0, b). What is the value of b?

Answer with step-by-step explanation:

The graph passes through both (1,4) and (2,0)

Thus it's slope is the difference of ordinates over difference of abscissae or -4

Thus the equation becomes y = -4x + b

This b is the required b

At x=2 ; y=0

Thus 0= -8 + b

b=8

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