First using point slope form, write the equation of the line in slope-intercept form
that is perpendicular to y = -3/2 x - 1 and through (9,-2)

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

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step-by-step explanation: