Question 1149757
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I encourage students to practice being able to solve a problem like this using your UNDERSTANDING of the problem, without the formal algebra.  Being able to do that means you really understand the problem.<br>
The given x-intercept is (3,0); the given point is (5,8).<br>
The given point is 2 to the right and 8 above the x-intercept; the slope is 8/2 = 4.<br>
The y-intercept is where x=0; that is 3 units to the left of the x-intercept.<br>
With a slope of 4, 3 units to the left means 12 units down.<br>
12 units down from the x-intercept gives a y value of -12.<br>
Therefore the y-intercept is (0,-12).<br>
ANSWER: k = -12<br>