Answer:
7. Slope = -7/4
8. Slope = 2
9. Second Point = (0, 0)
10. Second Point = (0 ,-5)
Step-by-step explanation:
Find the slope: Slope Formula = y2-y1/x2-x1
7. (2, 4) and (6, -3)
x1,x2 = (2, 4) y1,y2 = (6, -3)
(-3 - 4)/(6 - 2)
-7/4
8. (-5, 1) and (-1, 9)
x1,x2 (-5, 1) y1,y2 (-1, 9)
(9 - 1)/(-1 - (-5))
8/4
2
Second Point on Line:
9. We know: slope = 1/2, and (2, 1) is on the line; So:
y = 1/2x + b where we have to still find b
so b = y1 - m * x1
b = 1 - 1/2 * 2
b = 1 - 1
b = (0,0)
If you plug this in to the slope formula, it comes out to 1/2
10. We know: slope = -4, and (-3, 7) is on the line; So
y = -4x + b where we have to still find b
so b = y1 - m * x1
b = 7 - (-4) * -3
b = 7 - 12
b = (0,-5)
If you plug this in to the slope formula, it comes out to -4
