Answer:
3/5
Explanation:
The equation of a line is written as
y = mx + b where
m is the slope
b is the y-intercept.
We put the given equation above in that form
10x + 6y = - 84
6y = -10x - 84
Divide both sides by 6
y = -10x/6 - 84/6
y = -5x/3 - 14
y = -5/3x - 14
The slope of this line is -5/3
But we are told that: the slope of the line is perpendicular to the line
Hence: we find the reciprocal of , -5/3
This is = 3/5
Therefore, the slope of a line perpendicular to the line whose equation is 10x + 6y = −84 is 3/5