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

#y=8/13x+53/26#

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"#