How do you determine the equation of the line passing through (-2,3) and (3,9)?
1 Answer
Mar 3, 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)=(-2,3)" and "(x_2,y_2)=(3,9)#
#rArrm=(9-3)/(3-(-2))=6/5#
#rArry=6/5x+blarrcolor(blue)"is the partial equation"#
#"to find b substitute either of the 2 given points into"#
#"the partial equation"#
#"using "(3,9)" then"#
#9=18/5+brArrb=45/5-18/5=27/5#
#rArry=6/5x+27/5larrcolor(red)"in slope-intercept form"#
