Answer:
y + 8 = x + 10
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 6 = -(x + 7) is in this form with slope m = - 1
given the slope of a line m then the slope of a line perpendicular to it is
= -
= -
= 1
using m = 1 and (a, b) = (- 10, - 8), then
y + 8 = x + 10 ← equation of line k
or y = x + 2 ← in slope- intercept form