What is the equation of the line that passes through the point (-1,5) and has a slope of - 3

To come up with the equation of a line in slope intercept form, we need the slope and the y-intercept.

1. The basic form of this equation is: y = mx + b, where m = slope and b = the y-intercept
2. First, substitute the given slope in for m. We get the equation y = 3x + b. Now we just need the y-intercept.
3. Since we have a point that the line passes through, we can substitute these coordinates into our equation and solve for b. Doing this, we get: -3 = 3(-1) + b.
4. Adding 3 to both sides, we get that b = 0. Therefore, the y-intercept is 0, and the overall equation for the line is y = 3x.

Hope this helps!