Answer:
The slope of the line perpendicular to 8x - 6y = -4 = -3/4
All lines parallel to y = 4x/ 3 - 2/3 have thesame slope of 4/3
Explanation:
To find the slope of a line Parallel or perpendicular to another, we should bear in mind that:
When two lines are parallel, they have an equal slope.
Also, when two lines are perpendicular, they have opposite signs and they are reciprocals of each other.
From the question:
8x - 6y = -4
Let's rearrange the equation to have in the form of:
y = mx + c.
Where m= slope
C = intercept.
Therefore, for PERPENDICULAR
6y = 8x - 4.
y = 8x/6 - 4/6
y = 4x/3 - 2/3
SLOPE = 4/3
To get tge slope perpendicular to the line y = 4x/3 - 2/3;
Lets get the reciprocal and the opposite sign.
Slope = 4/3
Perpendicular slope = - 1/ m
= -3/4
Therefore, the slope of the line perpendicular to = -3/4
PARALLEL:
6y = 8x - 4.
y = 8x/ 6 - 4/6
y = 4x/ 3 - 2/3
SLOPE = 4/3.
Therefore, all lines parallel to y = 4x/ 3 - 2/3 have thesame slope of 4/3