# What is the equation of the line with slope # m= 7/25 # that passes through # (41/5 23/10) #?

##### 1 Answer

May 19, 2017

#### 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=7/25" and " (x_1,y_1)=(41/5,23/10)#

#rArry-23/10=7/25(x-41/5)larrcolor(red)" in point-slope form"#

#"distributing and simplifying gives an alternative equation"#

#y-23/10=7/25x-287/125#

#rArry=7/25x-287/125+23/10#

#rArry=7/25x+1/250larrcolor(red)" in slope-intercept form"#