Using the given equation find the missing coordinates of the points and then find the slope of the line.

4x−3y=24; A(...; 12), B(6; ...)

Respuesta :

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

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