What is the equation of the line that goes through #(- 2,- 5) # and has a slope of #9/2#?

1 Answer
Feb 8, 2018

#y=9/2x+4#

Explanation:

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

#•color(white)(x)y-y_1=m(x-x_1)#

#"where m is the slope and "(x_1,y_1)" a point on the line"#

#"here "m=9/2" and "(x_1,y_1)=(-2,-5)#

#y-(-5)=9/2(x-(-2))#

#rArry+5=9/2(x+2)larrcolor(blue)"in point-slope form"#

#"distributing and simplifying gives"#

#y+5=9/2x+9#

#rArry=9/2x+4larrcolor(blue)"in slope-intercept form"#