The equation of a line can be written in point-slope form as:
y - y1 = m(x - x1)
where m is the slope of the line, (x1, y1) is a point on the line.
Substituting the given values, we get:
y - 3 = 7(x - (-1))
Simplifying the equation, we get:
y - 3 = 7x + 7
y = 7x + 10
Therefore, the equation of the line with slope 7 passing through the point (-1, 3) is y = 7x + 10