Please help me with this math problem

Question

A line passes through the point 

( 6,−2) and has a slope of −52

Write an equation in slope-intercept form for this line.

Answer 1

Slope intercept form, y= mx +c  -------------- (1)

And line passes through (6,-2) and has a slope of -52

ie,

y = -2

x = 6

and m= -52

On putting these values in eq (1) we get

-2 = 6*(-52) + c

-2 = -312 + c

c = 310

Therefore, equation of line is

y = -52x +310