Answer:
![-2x+y=-3](https://img.qammunity.org/2022/formulas/mathematics/high-school/yw82c8geiibzwvq46j42zzx9qyjlrn9p7b.png)
Explanation:
Recall perpendicular lines have negative-reciprocal slopes. Since the equation
has a slope of
(
), any line perpendicular to it will have a slope of
.
Therefore, we have the line:
where
is the y-intercept.
We can plug in the point it passes through to find the final equation:
.
Therefore, the equation of the line perpendicular to
that passes through the point
is:
(slope-intercept form)
However, since the initial line given is in standard form, re-write this equation to standard form:
.