Question

What is the equation in point-slope form and slope intercept form for the line given m = -6, passing through (0, -8)?

Answer 1

`y+8=-6(x-0)" and "y=-6x-8`

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"`

`"here "m=-6" and "(x_1,y_1)=(0,-8)`

`rArry-(-8))=-6(x-0)`

`rArry+8=-6xlarrcolor(red)"in point-slope form"`

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

`•color(white)(x)y=mx+b`

`rArry=-6x-8larrcolor(red)"in slope-intercept form"`