# How do you write the equation given (6,-3) with slope 2/3?

##### 2 Answers

**Equation of the line is**

#### Explanation:

The equation of a line passing through

Therefore, the equation of a line passing through

Equation of the line is

#### 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=2/3" and " (x_1,y_1)=(6,-3)#

#y-(-3)=2/3(x-6)larrcolor(red)" substitute into equation"#

#rArry+3=2/3(x-6)larrcolor(red)" in point-slope form"#

#"distribute / simplify gives an alternative version of equation"#

#y+3=2/3x-4#

#y=2/3x-4-3#

#rArry=2/3x-7larrcolor(red)" in slope-intercept form"#