Write an equation in slope-intercept form for the line that passes through (3, -2) and is parallel to the equation: y=x+4 ?

2 Answers
Pravin Kumar
May 28, 2018

#y=x-5#

Explanation:

Slope of given line is 1
and we want to find out Equation of line that passes through (3,-2) And parallel to given line so the slope will be 1 for desired line
In slope form equation is given
by
#(y-y_1) = m(x-x_1)#

so Equation become.
#(y+2) = 1(x-3)#
#rArr# #y = x-5 #

Binayaka C.
May 28, 2018

Equation of the line in slope-intercept form is #y= x-5 #

Explanation:

Slope of the line, # y= x+4 ; [y=m x+c]#

is #m= 1# [Compared with slope-intercept form of equation]

Parallel lines have equal slopes . Therefore the slope of the

the line passing through #(3, -2)# is also #m=1#

Let the equation of line in slope-intercept form be #y=m x+c#

or #y=1*x+c = x +c# The point (3,-2) will satisfy the equation .

#:. -2= 3+c or c= -2-3= -5#. Hence equation of

the line in slope-intercept form is #y= x-5 # [Ans]

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