You can
put this solution on YOUR website!First thing is to remember that perpendicular lines have slopes that are negative reciprocals. That is to say that if
has a slope
and
has a slope
then
is perpendicular to
if and only if
.
The slope of your given line is already in slope-intercept form, so you can see that the slope of the given line is
because
is the coefficient on the
term. That means that the slope of any line perpendicular to the given line must be
.
Knowing the slope and a point, you can use the point-slope form of a line to create the desired equation. The point slope form is:
where
is the slope and (
,
) are the coordinates of the given point.
Just plug in the numbers and then solve the resulting equation for
to put the equation into slope-intercept form.
You can
put this solution on YOUR website!When an equation has the form
,
is the slope of the line
is the slope of this line
You are asked to find a line that is perpendicular to this
one. A line that is perpendicular to another line will
have a slope that is
, so in your case
Also given is the point (1,-3) that the line must pass through
The general form of the slope-intercept equation is:
, so, filling in the given data:
answer
