How do you write the point slope form of the equation given (1,12) and (-3,5)?
1 Answer
May 9, 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 2 points are "(x_1,y_1)=(1,12),(x_2,y_2)=(-3,5)#
#rArrm=(5-12)/(-3-1)=(-7)/(-4)=7/4#
#"use either of the 2 given points as point on line"#
#"using "m=7/4" and "(x_1,y_1)=(1,12)" then"#
#y-12=7/4(x-1)larrcolor(red)" in point-slope form"#
