# Question #a22d8

##### 1 Answer

Jan 30, 2017

#### Explanation:

The equation of a line in

#color(blue)"point-slope form"# is.

#color(red)(bar(ul(|color(white)(2/2)color(black)(y-y_1=m(x-x_1))color(white)(2/2)|)))#

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

#"here "m=1/6" and "(x_1,y_1)=(-5,4)# Substitute these values into the equation.

#y-4=1/6(x-(-5))#

#rArry-4=1/6(x+5)larrcolor(red)" in point-slope form"# We can distribute the bracket and simplify to obtain another version of the equation.

#y-4=1/6x+5/6#

#y=1/6x+5/6+4#

#rArry=1/6x+29/6larrcolor(red)" in slope-intercept form"#