How do you write an equation of a line that passes through (-5, 9) and (1,3)?

1 Answer
Jim G.
Apr 10, 2018

#y=-x+4#

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)=(-5,9)" and "(x_2,y_2)=(1,3)#

#rArrm=(3-9)/(1-(-5))=(-6)/6=-1#

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

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

#"using "(1,3)" then"#

#3=-1+brArrb=3+1=4#

#rArry=-x+4larrcolor(red)"in slope-intercept form"#

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