Coordinate axes

Determine the area of the triangle given by line -7x+7y+63=0 and coordinate axes x and y.

Correct answer:

S =  40.5

Step-by-step explanation:

−7x+7y+63=0  x=0: −7⋅ 0+7y+63=0 7y=−63 y=−63/7=−9  y=0: −7x+7⋅ 0+63=0 7x=63 x=63/7=9  a=∣x∣=∣9∣=9 b=∣y∣=∣(−9)∣=9  ABC:(0,0),(0,−9),(9,0)  S=a⋅ b/2=9⋅ 9/2=40.5

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Line slope calculator is helpful for basic calculations in analytic geometry. The coordinates of two points in the plane calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of the segment, intersections of the coordinate axes, etc.
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