SOLUTION: Consider a line passing through the point (5,7) and having the slope m, m less than zero. this line along with the x and y axes encloses a triangle in the first quadrant. DeTermi

Question 595473: Consider a line passing through the point (5,7) and having the slope m, m less than zero. this line along with the x and y axes encloses a triangle in the first quadrant. DeTermine the arae of that triangle in terms of m.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!

(Assume the bottom and left legs are the x- and y-axes respectively)
The equation of the line can be written in point-slope form:

We wish to find the x- and y-intercepts. Therefore we set y to zero and solve for x, then set x to zero and solve for y. The x-intercept is

and the y-intercept is

Multiply these two and divide by 2 to find the area.
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