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

2 Answers
May 26, 2018

#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"#

May 26, 2018

#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#