Question 595473
{{{drawing(300,300,-1,15,-1,15,


triangle(0,0,0,14,10,0),

locate(5,7,Z),
locate(3,10,slope = m)

)
}}}

(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:

*[tex \LARGE y-7 = m(x-5)]


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


*[tex \LARGE -\frac{7}{m} + 5] and the y-intercept is


*[tex \LARGE -5m + 7]


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