Answer:
y=3/4x+1/4
Step-by-step explanation:
Perpendicular lines have slopes that are negative and reciprocal. If you multiply them together, the result is -1.
So, to find the slope of the new line, we can use this equation:
-4/3m=-1
multiply both sides by 3/-4
m=3/4
So the slope of the new line is 3/4
Here's the equation so far:
y=3/4x+b (b is a placeholder)
we can substitute the point (5,4) into the equation, since the line is going to pass through it.
4=3/4(5)+b
4=15/4+b
1/4=b
So the line is y=3/4x+1/4
Hope this helps!
