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

##### 2 Answers

Jun 14, 2018

#### Explanation:

**First use the Point Slope form of a line:**

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

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

Jun 14, 2018

#### Explanation:

#"the equation of a line in "color(blue)"slope-intercept form"# is.

#â€¢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"#