A line has a slope of 3/4 and intersects the point T (-12, -39). At which point does this line intersect the x-axis?
Choose the most appropriate option
A) (40,0)
B) (30,0)
C) (0,40)
D) (40,30)
E) (0,30)
Assume that the equation of the line is y=mx+c, where m and c are the slope and y-intercept.   You are also given that the line crosses the point (-12,-39), this means that this point will also lie on the line above.   Thus you get -39=m*(-12)+c , with m=3/4 as the slope is given to be 3/4.   After substituting the above values, you get c = -30.   Thus the equation of the line is y=0.75*x-30 and the point where it will intersect the x-axis will be with y coordinate = 0.   Put y=0 in the above equation of the line and you will get, x=40.   Thus, the point T of intersection is (40,0).   (40,0) is the correct answer.
<result>A</result>
A line has a slope of 3/4 and intersects the point T (-12, -39). At which point does this line intersect the x-axis?