7x-2y=1 in slope intercept form

Question

Write an equation of the line containing the specified point and perpendicular to the indicated line 

(-4,5) 7x-2y=1

Answer 1

Put in y = mx + b form

7x - 2y = 1

y = 7/2 x - 1/2

 

 

The slope will be the negative reciprocal, so m will = -2/7

 

Plug in coordinates and solve for b, the y intercept

 

y = -2/7x + b

 

5 = -2/7(-4) + b

5 = 8/7 + b

27/7 = b

 

y = -2/7x + 27/7