Write equation in slope intercelt form of the line passing through 2,3 that is perpendicular to the line y=-×+11

y = x + 1

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = - x + 11 is in this form with slope m = - 1

the slope of a perpendicular line = - = - = 1

y = x + c ← is the partial equation

to find c substitute (2, 3 ) into the partial equation

3 = 2 + c ⇒ c = 3 - 2 = 1

y = x + 1 ← equation in slope-intercept form

c is the correct answer

step-by-step explanation: