How do you write the equation in slope intercept form given (0,2):(4,4)?

1 Answer
Jim G.
May 25, 2018

#y=1/2x+2#

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)=(0,2)" and "(x_2,y_2)=(4,4)#

#m=(4-2)/(4-0)=2/4=1/2#

#y=1/2x+blarrcolor(blue)"is the partial equation"#

#"to find b substitute either of the 2 given points into"#
#"the partial equation"#

#"using "(4,4)" then"#

#4=2+brArrb=4-2=2#

#y=1/2x+2larrcolor(red)"in slope-intercept form"#

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