How do you write an equation of a line given #(-5,-2),(5,2)#?

1 Answer
Jim G.
Jun 2, 2018

#y=2/5x#

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)=(-5,-2)" and "(x_2,y_2)=(5,2)#

#m=(2-(-2))/(5-(-5))=4/10=2/5#

#y=2/5x+blarrcolor(blue)"is the partial equation"#

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

#"using "(5,2)" then"#

#2=2+brArrb=2-2=0#

#y=2/5xlarrcolor(red)"is the equation of the line"#

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