Question

How do you write the equation in slope intercept form given point (−1, 6) and has a slope of −3?

Answer 1

`y=-3x+3`

Explanation:

If a straight line passes through `(x_1,y_1)` and has a slope `m`, then its equation can be written as `y-y_1=m(x-x_1)`.

By utilizing the values given in question, we get the equation,

`rarry-6=-3(x-(-1))`

`rarry-6=-3x-3`

`rarry=-3x+3` which is of the form `y=mx+c` (slope intercept form.

Answer 2

`y=-3x+3`

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=-3`

`rArry=-3x+blarrcolor(blue)"is the partial equation"`

`"to find b substitute "(-1,6)" into the partial equation"`

`6=3+brArrb=6-3=3`

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