x-intercept:
Substitute #color(red)(0)# for #color(red)(y)# in the equation and solve for #x#:
#color(red)(y) + 7 = -2x# becomes:
#color(red)(0) + 7 = -2x#
#7 = -2x#
#7/color(red)(-2) = (-2x)/color(red)(-2)#
#-7/2 = (color(red)(cancel(color(black)(-2)))x)/cancel(color(red)(-2))#
#-7/2 = x#
#x = -7/2#
The x-intercept is #-7/2# or #(-7/2, 0)#
y-intercept:
Substitute #color(red)(0)# for #color(red)(x)# in the equation and solve for #y#:
#y + 7 = -2color(red)(x)# becomes:
#y + 7 = (-2 * color(red)(0))#
#y + 7 = 0#
#y + 7 - color(red)(7) = 0 - color(red)(7)#
#y + 0 = -7#
#y = -7#
The y-intercept is #-7# or #(0, -7)#
