Determine the equation of the line with slope 5 that passes through the point m(1, 2).

y = 5x − 3
y = −5x − 3
y = 5x + 3
y = 5x + 7

You're already given the slope, so the first step you must take is to find the y-intercept. To do this, you substitute the values of the coordinate M into y = 5x + c, with the x value substituting x and the y value substituting y. This gives us:
2 = (5 × 1) + c
2 = 5 + c
- 5
-3 = c

So now you know that the y-intercept is -3, you can see that your final answer must be the first option, y = 5x - 3.

I hope this helps!