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

2 Answers
Jul 1, 2015

y=-2
color(white)("XXXX")has a slope of 0 and
color(white)("XXXX")a y-intercept of (-2)

Explanation:

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

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

y=-2 is equivalent to
color(white)("XXXX")y = 0*x +(-2) which is slope-intercept form
color(white)("XXXX")color(white)("XXXX")with slope 0 and y-intercept -2

Jul 1, 2015

Slope =0
Y-intercept=-2

Explanation:

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

Graphically:
enter image source here