What is the equation of the line with slope # m= -5 # that passes through # (-13,-7) #?

2 Answers
May 29, 2018

#y=-5x-72#

Explanation:

#"the equation of a line in "color(blue)"slope-intercept form"# is.

#•color(white)(x)y=mx+b#

#"where m is the slope and b the y-intercept"#

#"here "m=-5#

#y=-5x+blarrcolor(blue)"is the partial equation"#

#"to find b substitute "(-13,-7)" into "#
#"the partial equation"#

#-7=65+brArrb=-7-65=-72#

#y=-5x-72larrcolor(red)"is the equation of line"#

May 29, 2018

#y=-5x+b#

Explanation:

Equation of line in slope format is #y=mx+b#, where #m# is the slope of the line and #b# is y-intercept.

Hence from the given data, the equation of the line is:

#y=-5x+b#

Now, we can calculate the value of #b# from points #(-13,-7)#.

#y=-5x+b#

#-7 = -5(-13) +b#

#-7 = 65+b#

#-7-65=b#

#b=-72#

Therefore equation of line in slope format is #y=-5x+b#