Question

What equation is graphed in this figure?

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Answer 1

In which figure...??

Answer 2

Find the y-intercept:

The graph cuts the y-axis at y = 1

=> y-intercept = 1

Find the gradient:

2 points on the graph are (0,1) and (1, -2)

Gradient = (y2 - y1) / (x2 - x1)

Gradient = (-2 - 1)/(1 - 0) = -3

=> Gradient = -3

Form the equation:

y = mx + c

m = -3 and c = 1

y = -3x + 1

Answer: y = -3x + 1