Question

What is the equation in point-slope form and slope intercept form for the line given slope=-3 passing through (2,6)?

Answer 1

`y-6=-3(x-2),y=-3x+12`

Explanation:

`"the equation of a line in "color(blue)"point-slope form"` is.

`•color(white)(x)y-y_1=m(x-x_1)`

`"where m is the slope and "(x_1,y_1)" a point on the line"`

`"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=-3" and "(x_1,y_1)=(2,6)`

`rArry-6=-3(x-2)larrcolor(red)"in point-slope form"`

`rArry-6=-3x+6`

`rArry=-3x+12larrcolor(red)"in slope-intercept form"`