How do you find the slope and y intercept for y=-2y=2?

2 Answers
Jul 1, 2015

y=-2y=2
color(white)("XXXX")XXXXhas a slope of 00 and
color(white)("XXXX")XXXXa y-intercept of (-2)(2)

Explanation:

The fact that y=-2y=2 has a slope of 00 follows from the observation that it is a horizontal line.
The y-intercept is the value of yy when x=0x=0; since y=-2y=2 for all values of xx (including 00), the y-intercept is -22

Alternately
you could rewrite the equation into slope intercept form:
color(white)("XXXX")XXXXy=mx+by=mx+b with a slope of mm and a y-intercept of bb

y=-2y=2 is equivalent to
color(white)("XXXX")XXXXy = 0*x +(-2)y=0x+(2) which is slope-intercept form
color(white)("XXXX")XXXXcolor(white)("XXXX")XXXXwith slope 00 and y-intercept -22

Jul 1, 2015

Slope =0=0
Y-intercept=-2=2

Explanation:

Your equation represents a horizontal line passing through y=-2y=2 with slope equal to zero (it is horizontal so it is neither going up nor down).

Graphically:
enter image source here