# How do you write an equation of a line given point (3,7) and slope 2/7?

##### 2 Answers

#### 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=2/7#

#rArry=2/7x+blarrcolor(blue)"is the partial equation"#

#"to find b substitute "(3,7)" into the partial equation"#

#7=6/7+brArrb=49/7-6/7=43/7#

#rArry=2/7x+43/7larrcolor(red)"equation of line"#

Either are acceptable answers. Your teacher may prefer a certain form.

#### Explanation:

By the Point-Slope Form, (which, by the way, is a method of computing the equation of a line given its slope and a point on it):