What is the slope-intercept form of the line passing through # (-1, 4) # and # (-4, 1) #?
1 Answer
May 27, 2018
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)=(-4,1)#
#m=(1-4)/(-4-(-1))=(-3)/(-3)=1#
#y=x+blarrcolor(blue)"is the partial equation"#
#"to find b substitute either of the 2 given points into"#
#"the partial equation"#
#"using "(-4,1)" then"#
#1=-4+brArrb=1+4=5#
#y=x+5larrcolor(red)"in slope-intercept form"#