Discussion

Find the y-intercept of the line passing through the points (2, 5) and (4, 9).

Answer: A

First, find the slope (m) of the line.

m = \(\frac{9-5}{4-2} = \frac{4}{2} = 2\).

Now use the point-slope form with one of the points, say (2, 5):

y - 5 = 2(x - 2)

y - 5 = 2x - 4

y = 2x + 1.

This is in the slope-intercept form y = mx + c. The y-intercept (c) is 1.

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