What is the equation of the line that has a slope of #m=3/4# and goes through #(5,2)#?
1 Answer
Mar 16, 2017
Explanation:
The equation of a line in
#color(blue)"point-slope form"# is.
#color(red)(bar(ul(|color(white)(2/2)color(black)(y-y_1=m(x-x_1))color(white)(2/2)|)))#
where m represents the slope and# (x_1,y_1)" a point on the line"#
#"here "m=3/4" and " (x_1,y_1)=(5,2)#
#rArry-2=3/4(x-5)larrcolor(red)" in point-slope form"# Distributing the bracket and simplifying gives an alternative version of the equation.
#y-2=3/4x-15/4#
#rArry=3/4x-15/4+2#
#rArry=3/4x-7/4larrcolor(red)" in slope-intercept form"#