the line passing through point (-1,4) with slope -3

The equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Given that the slope is -3 and the point (-1,4) lies on the line, we can substitute these values into the equation to find b.

4 = -3(-1) + b
4 = 3 + b
4 - 3 = b
1 = b

Therefore, the equation of the line passing through point (-1,4) with a slope of -3 is y = -3x + 1.