Answer:
c = 0
Explanation:
You want the value of c such that point (c, 4) is on the line with slope 1 through point (-7, -3).
Point-slope equation
The point-slope equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
The line with slope 1 through point (-7, -3) has equation ...
y +3 = 1(x +7)
y = x +4 . . . . . . . subtract 3 and simplify
(c, 4)
The value of x when y=4 can be found using this equation.
4 = x +4
0 = x . . . . . . . subtract 4
The value of c is 0.