Question #8eaad
1 Answer
Feb 28, 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"#
#"rearrange "2x-3y=4" into this form"#
#rArry=2/3x-4/3larr" with "m=2/3#
#"calculate the slope of the line passing through the 2 "#
#"given points"#
#"to calculate m use the "color(blue)"gradient formula"#
#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#
#rArrm=(1-(-2))/(-4-(-1))=3/(-3)=-1#
#"since the 2 lines have different slopes they will not be "#
#"coincident"#