Draw the graph of x + y = 4 and use it to find the area of the triangle formed by the line and coordinate axes.
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Given equation of line is
Substituting 'x = 0' in the given equation, we get
Substituting 'x = 2' in the given equation, we get
Substituting 'x = 4' in the given equation, we get
Hᴇɴᴄᴇ,
➢ Pair of points of the given equation are shown in the below table.
➢ Now draw a graph using the points (0 , 4), (2 , 2) & (4 , 0)
➢ See the attachment graph.
From graph, we concluded that
Required Triangle is OAB formed by the given line with coordinates axis.
Coordinates of A = (4, 0)
Coordinates of B = (0, 4)
Coordinates of C = (0, 4)
So,
Required area of triangle ABC = 1/2 × 4 × 4 = 8 square units.
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