Answer:
A(15; 12)
B(6; 0)
m= 3/4
Step-by-step explanation:
First, we have to find the coordinate of both points. Point A has Y-coordinate (y=12) but missing X. The X-coordinate will be:
4x−3y=24
4x−3(12)=24
4x= 24+36
x=60/4= 15
The location will be: A(15; 12)
Point B has X-coordinate (x=6) but missing Y. The Y-coordinate will be:
4x−3y=24
4(6)−3y=24
-3y= 24-24
-3y=0
y=0
The location will be: B(6; 0)
You can find the slope by dividing the difference of y-coordinate with x-coordinate of the points. It will be:
m= y1-y2 / x1-x2= (12-0) / (15-6)= 12/9
m=4/3