Question

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

Answer 1

`y=7/25x+129/250`

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]}