Question

Find the equation of a line that passes through the point (4,2) that is perpendicular to the line y=4/3 x

Answer 1

Answer:

$y=\frac{3}{4}x-1$

Step-by-step explanation:

Since we're looking at perpendicular lines, the slope of the new line is the reciprocal of the original line.

So the slope of our new line is $\frac{3}{4}$

So far, we are looking at $y=\frac{3}{4} x+b$

Now we need to find the b value by plugging in the given point.

$2=\frac{3}{4}(4)+b\\ 2=3+b\\ b=-1$

So the final equation is $y=\frac{3}{4}x-1$