What is the equation of the line with slope # m= -1/4 # that passes through # (7,13) #?

1 Answer
Nov 15, 2015

#y=-1/4x+59/4#

Explanation:

Make use of the point-slope form #y-y_1=m(x-x_1)# where #m# is the slope and #x_1# and #y_1# are the #x# and #y# values of the given point.

#[1]" "y-y_1=m(x-x_1)#

Substitute the values of #m#, #x_1#, and #y_1#.

#[2]" "y-(13)=(-1/4)[x-(7)]#

Distribute #-1/4# to #(x-7)#.

#[3]" "y-13=-1/4x+7/4#

Add #13# to both sides.

#[4]" "y-13+13=-1/4x+7/4+13#

#[5]" "y=-1/4x+7/4+13#

Add #7/4# and #13#.

#[6]" "y=-1/4x+7/4+52/4#

#[7]" "color(blue)(y=-1/4x+59/4)#