How do you write the equation of the line given (8, -3) and (-2, 2)?
1 Answer
May 4, 2018
Explanation:
#"the equation of a line in "color(blue)"slope-intercept form"# is.
#•color(white)(x)y=mx+b#
#"where m is the slope and b the y-intercept"#
#"to calculate m use the "color(blue)"gradient formula"#
#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#
#"let "(x_1,y_1)=(8,-3)" and "(x_2,y_2)=(-2,2)#
#rArrm=(2-(-3))/(-2-8)=5/(-10)=-1/2#
#rArry=-1/2x+blarrcolor(blue)"is the partial equation"#
#"to find b substitute either of the 2 given points into "#
#"the partial equation"#
#"using "(-2,2)" then"#
#2=1+brArrb=2-1=1#
#rArry=-1/2x+1larrcolor(red)"is the equation of the line"#
