How do you write the equation in point slope form given (0,8) and (-1,10)?

1 Answer
May 15, 2017

#y-10=-2(x+1)#

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"#

#"to calculate m use the "color(blue)"gradient formula"#

#color(red)(bar(ul(|color(white)(2/2)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(2/2)|)))#
where # (x_1,y_1),(x_2,y_2)" are 2 coordinate points"#

#"the points are " (x_1,y_1)=(0,8),(x_2,y_2)=(-1,10)#

#rArrm=(10-8)/(-1-0)=2/(-1)=-2#

#"use either of the 2 given points for " (x_1,y_1)" in equation"#

#"using " m=-2" and " (x_1,y_1)=(-1,10)#

#y-10=-2(x-(-1))#

#rArry-10=-2(x+1)larrcolor(red)" in point-slope form"#