Question

The equation of line L is 3x − 4y = 24. The line intersects the X − axis at A and the

Y − axis at B. Given that M is the point (4, −3) and O is the origion. Find
. The gradient of line L.

Answer 1

Gradient=¾

Explanation:

Write the equation in slope-intercept form y=mx+c

3x-4y=24

-4y=24-3x

y=24/-4-3x/-4

y=-6+¾x

y=¾x-6

The gradient is therefore ¾

The y-intercept of the line occurs at(0,-6)

The x-intercept of the line occurs at(8,0)

Finding the midpoint of the two intercepts

{(x1+x2)/2,(y1+y2)/2}

M={0+8/2,(-6+0/2)}

M={8/2,-6/2}

M=(4,-3)

As you can see, the other information was not required to solve it