Answer to Question #275591 in Analytic Geometry for Yourmum

Question

Find the equation of a line that passes through the point (2,1) and has a gradient of

−

1

3

.

Leave your answer in the form

y

=

m

x

+

c

Answer 1

for the line

$y=mx+c$

m is gradient

we have: $m=1/3$

so, for point (2,1):

$1=2/3+c$

$c=1-2/3=1/3$

equation of a line:

$y=x/3+1/3$