How do you write the equation in slope intercept form given (3/4,5/2) and ( - 7/8, 3/2)?
1 Answer
May 31, 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)=(3/4,5/2)" and "(x_2,y_2)=(-7/8,3/2)#
#m=(3/2-5/2)/(-7/8-3/4)=(-1)/(-13/8)=8/13#
#y=8/13x+blarrcolor(blue)"is the partial equation"#
#"to find b substitute either of the 2 given points into"#
#"the partial equation"#
#"using "(3/4,5/2)" then"#
#5/2=6/13+brArrb=5/2-6/13=53/26#
#y=8/13x+53/26larrcolor(red)"in slope-intercept form"#
