What is the equation of a line that passes through the point (-5,1) and has a slope of 7

The equation of a linear function is in the form y=mx+c.  where m is the slope, c the y-intercept and x the independent.

So given coordinates of a point on the line we can find its equation by substituting the given values in the general equation.

for x replace with the x-coordinate and do the same for y. it becomes:

1 = 7(-5) + c

c = 36

hence: y = 7x +36

(6,0) i hope it makes enough sense