a line has a slope of 3 / 4 and intersects the point w ( - 12, - 39 ). at which point does this line intersect the x - axis?  Choose the correct choice from the following answers.
A) ( 40,0 )
B) ( 30,0 )
C) ( 0,40 )
D) ( 40,30 )
E) ( 0,30 )
<gadget id="calculator">-39</gadget>
<output>-39</output>

<gadget id="calculator">-12</gadget>
<output>-12</output>

<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>

<gadget id="calculator">(-12) * (3/4)</gadget>
<output>-9</output>

<gadget id="calculator">(-39) - (-9)</gadget>
<output>-30</output>

<gadget id="calculator">(-30) / (3/4)</gadget>
<output>-40</output>

<gadget id="calculator">-(-40)</gadget>
<output>40</output>

<gadget id="calculator">40 * 10</gadget>
<output>400</output>

<result>A</result>
a line has a slope of 3 / 4 and intersects the point w ( - 12, - 39 ). at which point does this line intersect the x - axis?
multiply(negate(divide(subtract(negate(39), multiply(negate(12), divide(3, 4))), divide(3, 4))), const_10)
"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 w of intersection is ( 40,0 ) . a is the correct answer ."