# What is the equation of the line that passes through the points (2, 4) and (3,9)?

##### 2 Answers

Jun 11, 2018

5

#### Explanation:

Use

Jun 11, 2018

#### 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"#

#"to calculate m use the "color(blue)"gradient formula"#

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

#"let "(x_1,y_1)=(2,4)" and "(x_2,y_2)=(3,9)#

#m=(9-4)/(3-2)=5/1=5#

#y=5x+blarrcolor(blue)"is the partial equation"#

#"to find b substitute either of the 2 given points"#

#"into the partial equation"#

#"using "(2,4)" then"#

#4=10+brArrb=4-10=-6#

#y=5x-6larrcolor(red)"is the equation of line"#