# How do you write the point slope form of the equation given (-4,1) parallel to #y=-1/2x-1#?

##### 1 Answer

Apr 29, 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"#

#"require to know the following fact."#

#color(red)(bar(ul(|color(white)(2/2)color(black)(" parallel lines have equal slopes")color(white)(2/2)|)))#

#y=-1/2x-1" is in slope-intercept form, that is"#

#y=mx+brArr" slope " = m=-1/2#

#"using " m=-1/2" and " (x_1,y_1)=(-4,1)#

#y-1=-1/2(x-(-4))#

#rArry-1=-1/2(x+4)larrcolor(red)" in point-slope form"#