SOLUTION: Please help me solve this problem !!!!! In triangle ABC, A and B are the points where the equation y= 3/4x-6 crosses the x-axis and yaxis respectively, while C is the point where

Question 919482: Please help me solve this problem !!!!!
In triangle ABC, A and B are the points where the equation y= 3/4x-6 crosses the x-axis and yaxis respectively, while C is the point where 4x + 3y=32 crosses the yaxis. Fnd the number of square units in the area of triangle ABC.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the y-intercept is the value of y when x = 0.
when x = 0, the equation of y = 3/4 * x - 6 becomes y = 3/4 * 0 - 6 which becomes y = -6.
point A is at (0,-6)

the x-intercept is the value of x when y= 0.
when y = 0, the equation of y = 3/4 * x - 6 becomes 0 = 3/4 * x - 6.
add 6 to both sides of this equation to get 6 = 3/4 * x.
multiply both sides of this equation by 4/3 to get 4/3 * 6 = x.
solve for x to get x = 8.
point B is at (8,0)

the area of the triangle is equal to 1/2 * base * height.
base = 8
height = 6
area = 1/2 * 8 * 6 = 4 * 6 = 24 square units.

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