How do you find the equation of the line passing through the points (1,4) and (-2,6)?

1 Answer
Jim G.
May 9, 2018

#y=-2/3x+14/3#

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)=(1,4)" and "(x_2,y_2)=(-2,6)#

#rArrm=(6-4)/(-2-1)=2/(-3)=-2/3#

#rArry=-2/3x+blarrcolor(blue)"is the partial equation"#

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

#"using "(1,4)" then"#

#4=-2/3+brArrb=12/3+2/3=14/3#

#rArry=-2/3x+14/3larrcolor(red)"equation of line"#

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