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in the xy-coordinate system, line k has y-intercept 12 and an x-intercept greater than zero. if the area of the triangular region enclosed by line k and the two axes is 30, what is the slope of line k?
title
bounded triangle
your result
correct
difficulty
hard
your pace
0:02
others' pace
1:57
video explanation
text explanation
we know that the area of a triangle = (base) (height). we also know that the triangle's height is 12, since the y-intercept is 12. so setting x = base:
30 = (x)(12)
30 = 6x
x = 5
the base of the triangle is 5, which means that the x-intercept must be (5,0). here's a visual of all the information we now have:
so we know two points exist on line k: (0, 12) and (5, 0). we can use these to find the slope using the formula:
answer: (a)
related lessons
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