slope-intercept

Question

Write an equation of the line with the following properties. Write the equation in slope-intercept form.
perpendicular to the line y = 7 and passing through
(−6, 3)

Answer 1

Since it is perpendicular, its slope must be

 

m = -1/7

 

y = mx + b = -x/7 + b

 

3 = -(-6)/7 + b = 6/7 + b

 

b = 3 - 6/7 = (21 - 6)/7 = 15/7

 

y = -x/7 + 15/7

 

Test the answer.