# What is the equation of the line with slope # m= 7/25 # that passes through # (14/5 13/10) #?

##### 1 Answer

Feb 9, 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)=(14/5,13/10)# substitute these values into the equation.

#y-13/10=7/25(x-14/5)larrcolor(red)" in point-slope form"# distributing and simplifying gives an alternative version of the equation.

#y-13/10=7/25x-98/125#

#rArry=7/25x-98/125+13/10#

#rArry=7/25x+129/250larrcolor(red)" in slope-intercept form"#

graph{7/25x+129/250 [-10, 10, -5, 5]}