Answer:
y= 10/3 x -18
Step-by-step explanation:
Perpendicular lines meet the following condition:
m2*m1=-1 (1)
The product of their slope is -1.
From the equation of the first line we can obtain the first slope.
y=-0.3x+6 -> m1=-0.3
Hence, the slope of our desired line is obtained from equation (1).
m2=10/3.
Remember, the equation of a line is given by:
y=mx+b
Now, we need to find the term 'b' and we will do that by evaluating the point (3,-8).
-8=10/3 * 3 +b.
b=-18.
Finally, our desired line has the following equation:
y= 10/3 x -18
