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Answer:
y = x - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x - 1 ← is in slope- intercept form
with slope m = -
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
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
Here m = and (a, b) = (9, - 2), thus
y - (- 2) = (x - 9), that is
y + 2 = (x - 9) ← in point- slope form
Distribute right side and rearrange
y + 2 = x - 6 ( subtract 2 from both sides )
y = x - 8 ← in slope- intercept form