Question

What is the equation of the line with a slope of `0.25` that passes through the point `(-1 -8)`?

Answer 1

`y=0.25x-7.75`

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=-.25`

`y=0.25x+blarrcolor(blue)"is the partial equation"`

`"to find b substitute "(-1,-8)" into the partial equation"`

`=-8=-0.25+brArrb=-8+0.25=-7.75`

`y=0.25x-7.75larrcolor(red)"is the equation of line"`

Answer 2

`color(indigo)(x - 4y= 31`

Explanation:

Point-slope form of equation is

`y - y_1 = m (x - x_1)`

Given : `m = 0.25 = 1/4, (x_1, y_1) = (-1,-8)`

`y + 8 = (1/4) * (x + 1)`

`4y + 32 = x + 1`

`color(indigo)(x - 4y= 31`