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=812=4012=40.5

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Tips to related online calculators
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.
See also our right triangle calculator.
Do you want to convert length units?
See also our trigonometric triangle calculator.

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