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Step 1: Find the slope:
This gives you , but we need to find b.
To find b, substitute in one (x,y) pair and it doesn't matter which one. I'll go with (4,-2):
Now take that b-value and plug in into the slope-intercept form:
It's always a good idea to toss in the other x-value from the other point, to make sure it checks out.
Answer:
A ≈ 65.8 m²
Step-by-step explanation:
Given 2 sides and the angle between them then the area (A) is
A = bc sinA
= 0.5 × 19.9 × 10.7 × sin38.17°
≈ 65.8 m² ( to 1 dec. place )