What is the slope-intercept form of the line passing through # (-4, 1) # and #(-3, 5) #?

1 Answer
Jim G.
Mar 21, 2018

#y=4x+17#

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)=(-4,1)" and "(x_2,y_2)=(-3,5)#

#rArrm=(5-1)/(-3-(-4))=4/1=4#

#rArry=4x+blarrcolor(blue)"is the partial equation"#

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

#"using "(-3,5)" then"#

#5=-12+brArrb=5+12=17#

#rArry=4x+17larrcolor(red)"in slope-intercept form"#

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