Answer: y= -4x/3 - 4/3
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=3x4−32.
The slope of the perpendicular line is negative inverse: m=−43.
So, the equation of the perpendicular line is y=−4x3+a.
To find a, we use the fact that the line should pass through the given point: −4=(−43)⋅(2)+a.
Thus, a=−43.
Therefore, the equation of the line is y=−4x3−43.
Answer:
Step-by-step explanation:
y=mx+b
3x-4y=6
4y=3x-6
y=(3x-6)/4
So the slope, m, is 3/4
For lines to be perpendicular m1(m2)=-1, in this case
3m/4=-1
m=-4/3 so our line so far is
y=-4x/3+b, using point (2,-4) we can solve for the y intercept or b
-4=-4(2)/3+b
b=-4/3 so
y=(-4x-4)/3
