Answer:
Step-by-step explanation:
Start by finding the slope of the line between those 2 points. The slope formula is the difference between the y-terms over the difference between the x terms. Ours looks like this:
[tex]m=\frac{9-1}{2-4}=-\frac{8}{2}=-4[/tex]
Now that you know the slope, you can plug it into either the point-slope formula or the slope-intercept formula using one of the given points and get your equation that way. I used point-slope, but either way you'll get the same equation.
y - 1 = -4(x - 4) and
y - 1 = -4x + 16 so
y = -4x + 17
