What is the slope intercept form of the line passing through #(3,2) # with a slope of #7/5 #?

2 Answers
Jun 14, 2018

#y=7/5x-11/5#

Explanation:

First use the Point Slope form of a line:

#(y-color(blue)(y_1)) = color(green)m(x-color(blue)(x_1))#

#(y-color(blue)(2)) = color(green)(7/5)(x-color(blue)(3))#

Now do the algebra to convert it to slope intercept form:

#y-2=7/5x-21/5#

#y=7/5x-21/5+2#

#y=7/5x-21/5+10/5#

#y=7/5x-11/5#

graph{y-2=7/5x-21/5 [-10, 10, -5, 5]}

Jun 14, 2018

#y=7/5x-11/5#

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"#

#"here "m=7/5#

#y=7/5x+blarrcolor(blue)"is the partial equation"#

#"to find b substitute "(3,2)" into the partial equation"#

#2=21/5+brArrb=10/5-21/5=-11/5#

#y=7/5x-11/5larrcolor(red)"in slope-intercept form"#