Answer:
y = 5x + 2
Explanation:
The point-slope form of the equation of the line can be used to advantage. For slope m through point (h, k), that equation is ...
... y = m(x -h) +k
For your point and slope, this is ...
... y = 5(x -1) +7
Simplifying gives the desired equation.
... y = 5x +2