Question

Write the equation for the line which passes through the point (4, 1) and is perpendicular to the graph of y = x – 3. Write the equation in slope-intercept form.

No idea how to do this. Help please! :(

Answer 1

you need a point and a slope
the point you are given, it is (4,1)
the slope you find
the line \(y=x-3\) has slope 1, and so the perpendicular line will have slope \(-1\) because it is the negative reciprocal

Answer 2

then you need the point slope formula
\(y-y_1=m(x-x_1)\) with
\[m=-1,x_1=4,y_x=1\]
make a direct substitution to get your answer