# How do you write the equation of the line that passes through the points (3, 6) and (5, 18) using function notation?

##### 2 Answers

Aug 8, 2018

#### Explanation:

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

#•color(white)(x)y=mx+c#

#"where m is the slope and c the y-intercept"#

#"calculate m using the "color(blue)"gradient formula"#

#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#

#"let "(x_1,y_1)=(3,6)" and "(x_2,y_2)=(5,18)#

#m=(18-6)/(5-3)=12/2=6#

#y=6x+clarrcolor(blue)"is the partial equation"#

#"to find c substitute either of the 2 given points into"#

#"the partial equation"#

#"using "(3,6)" then"#

#6=18+crArrc=6-18=-12#

#y=6x-12" or "f(x)=6x-12#

Aug 8, 2018

#### Explanation:

After using formula equation of line passes through 2 points,