How do you write the equation in point slope form given (0,8) and (-1,10)?
1 Answer
May 15, 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"#
#"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"#
