How do you find an equation of the line containing the given pair of points. (2,4) and (6,6)?
1 Answer
Mar 6, 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"#
#m=(y_2-y_1)/(x_2-x_1)#
#"let "(x_1,y_1)=(2,4)" and "(x_2,y_2)=(6,6)#
#rArrm=(6-4)/(6-2)=2/4=1/2#
#rArry=1/2x+blarrcolor(blue)"is the partial equation"#
#"to find b substitute either of the 2 points into the"#
#"partial equation"#
#"using "(2,4)" then"#
#4=1+brArrb=4-1=3#
#y=1/2x+3larrcolor(red)"in slope-intercept form"#
