Question

What is the equation of the line with slope `m= -5/17` that passes through `(3,1)`?

Answer 1

`y=-5/17x+32/17`

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"`

`"here "m=-5/17`

`rArry=-5/17+blarrcolor(blue)"is the partial equation"`

`"to find b substitute "(3,1)" into the partial equation"`

`1=-15/17+brArrb=17/17+15/17=32/17`

`rArry=-5/17x+32/17larrcolor(red)" is equation of line"`