What is the equation of the line that goes through #(- 2,- 5) # and has a slope of #9/2#?
1 Answer
Feb 8, 2018
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"#