Question

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

Answer 1

y-3=-1(x-2)
y-3 = -x+2
y= -x +5

Answer 2

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 = - $\frac{1}{m}$ = - $\frac{1}{-1}$ = 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