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ella [17]
3 years ago
7

10)

Mathematics
1 answer:
Nuetrik [128]3 years ago
8 0

Answer:

y = 2·x/3 - 1

Step-by-step explanation:

The endpoints of the longer base of the trapezoid = (-2, -4), and (4, 0)

The point contained on the shorter base = (3, 1)

The slope of the line representing the longer base, <em>m</em>, is given as follows;

m = (0 - (-4))/(4 - (-2)) = 2/3

The slope of the shorter base = The slope of the longer base = m = 2/3

The equation of the line representing the shorter base in point and slope form is therefore;

y - 1 = (2/3)·(x - 3)

∴ y = 2·x/3 - 2 + 1 = 2·x/3 - 1

The equation of the shorter side of the trapezoid is y = 2·x/3 - 1

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