What are the x-intercept and the y-intercept of the graph of ##y=-1/2x-5##?

The y-intercept is ##-5## or ##(0, -5)##

The x-intercept is ##-10## or ##(-10, 0)##

Because this equation is in :

##y = mx + c## where ##m## is the and ##c## is the y-intercept of ##(0, c)##.

So for this problem the y-intercept is ##-5## or ##(0, -5)##

To find the x-intercept we need to set ##y## to ##0## and solve for ##x##:

##0 = -1/2x - 5##

##0 + 5 = -1/2x - 5 + 5##

##5 = -1/2x - 0##

##5 = -1/2x##

##5 xx -2 = -1/2x xx -2##

##-10 = (-2)/(-2)x##

##-10 = 1x##

##-10 = x##