equation that passes through the point (4,16) and (-1,-14)

Answer 1

The formula for the slope of a line is m = (y2 - y1)/(x2-x1)

Here: x1 = 4, y1 = 16, x2 = -1, y2 = -14

So m = (-14-16)/(-1-4) = -30/-5 = 6

Remember y = mx+b. You need to now find b. You can use either point for that, let's use (4, 16)

16 = 6(4) + b so b =-8

The equation will then be: y = 6x - 8

Cheers