Answer:
y=-5/2x-16
Explanation:
1. Find the slope using the slope formula and the two coordinates provided.
m=y2-y1/x2-x1
Put the y values from both coordinates on top and the x values on bottom.
-6--5/-4--6
Solve for M. -6--5/-4--6 = -6+1/-4+6
= -5/2
Slope is -5/2.
2. Using the slope and one of the coordinates (doesn't matter which), put the equation in point-slope form: y-y1=m(x-x1)
y+6=-5/2(x+4)
3. Distribute the -5/2 to x+4 and simplify (multiply x and 4 by -5/2)
y+6=-5/2x-10
Subtract 6 from both sides to get y by itself.
y=-5/2x-16
4. y=-5/2x-16 is your answer