How do you write an equation in slope-intercept form for the line that satisfies the give conditions contains (5, 7) and (-3, 11)?

1 Answer
Jim G.
Jun 9, 2018

#y=-1/2x+19/2#

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)=(5,7)" and "(x_2,y_2)=(-3,11)#

#m=(11-7)/(-3-5)=4/(-8)=-1/2#

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

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

#"using "(5,7)" then"#

#7=-5/2+brArrb=14/2+5/2=19/2#

#y=-1/2x+19/2larrcolor(red)"in slope-intercept form"#

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