# How do you write the slope-intercept equation of a line with point (2,1) with slope -2/3?

##### 1 Answer

Aug 13, 2016

#### Explanation:

The equation of a line in

#color(blue)"slope-intercept form"# is

#color(red)(|bar(ul(color(white)(a/a)color(black)(y=mx+b)color(white)(a/a)|)))#

where m represents the slope and b, the y-intercept.Here we know m but have to find b.

#color(blue)"Partial equation"" is " y=-2/3x+b# To calculate b, substitute x = 2 and y = 1 from (2 ,1) into the partial equation.

#rArr(-2/3xx2)+b=1rArr-4/3+b=1rArrb=7/3#

#rArry=-2/3x+7/3" is equation in slope-intercept form"#