The correct answer is B: y = 4x
Take two points from the graph and solve for the slope:
Let (x1, y1) = (2, 8)
(x2, y2) = (4, 16)
substitute these values into the slope formula:
m = (y2 - y1)/(x2 - x1)
m = (16 - 8) / (4 - 2)
m = 8/2
m = 4
Therefore, the slope is 4.
The y-intercept is the y-coordinate of the point (0, b) where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.
Looking at the graph, the line crosses at the point of origin, (0, 0). Therefore, the y-intercept, b = 0.
The correct answer is option B) y = 4x.
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