Find the equation of the line with the given properties. Perpendicular to the line 3x + y = -7 contains the point (-3,1)

Question

Express the equation in general form or​ slope-intercept form.

Answer 1

first write the equation in standard form

3x + y = -7 

y = -3x -7

the slope of a perpendicular line the negative reciprocal of the original slope

m = 1/3

new line

y = 1/3 x + b . now use the point given

1 = 1/3(-3) + b

b = 4

so the new perpendicular line would be

y = 1/3x + 4