How do you write the equation of a line given (-4,6) (-1,-3)?
1 Answer
May 2, 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)=(-4,6)" and "(x_2,y_2)=(-1,-3)#
#rArrm=(-3-6)/(-1-(-4))=(-9)/3=-3#
#rArry=-3x+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=3+brArrb=-3-3=-6#
#rArry=-3x-6larrcolor(red)"is equation of line"#
