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A line contains the points (6, 10) and (15, 22). If the line intersects the y-axis at (0, b), what is the value of b?

 Jul 1, 2020
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We write this equation in slope intercept form using the two given points. With the slope formula, we find that the slope, m is 4/3. We currently have y=4/3x+b. We can plug either given point into this equation to find b. We plug in (6, 10) to get

 

y=4/3x+b

10=4/3(6)+b

10=8+b

b=2.

 Jul 1, 2020

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