Answer:
Answer:
4x - 3y = 0
Step-by-step explanation:
The angle between the radius and the
tangent at P is right
The equation of a line in slope-intercept
form is
y = mx + c ( m is the slope and c the y-
intercept)
Rearrange 4y + 3x = 25 into this form
=
Subtract 3x from both sides
4y = - 3x + 25 ( divide all terms by 4)
=-
y = -- 3 x + 25 + in slope-intercept form
4
X
with slope m
--
3
4
Given a line with slope m then the slope
of a line perpendicular to it is
1
= -
= -
т
-
m perpendicular
* = 4, thus
4.
3
3
4
y = 4 x+c+ is the partial equation
To find c substitute P(3, 4) into the partial
equation
4 = 4 +C+c= 4-4 = 0
=
y = { x + equation of radius in slope-
intercept form
Multiply through by 3
3y = 4x ( subtract 3y from both sides )
=
=
4x - 3y = 0 + equation of radius in
standard form
