What is the equation of the line with slope m= 7/25 m=725 that passes through (14/5 13/10) (1451310)?

1 Answer
Feb 9, 2017

y=7/25x+129/250y=725x+129250

Explanation:

The equation of a line in color(blue)"point-slope form"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]}