Slope = (y2 - y1)/(x2 - x1) = (-1 - 4)/(4 - (-3)) = -5/(4 + 3) = -5/7
Step-by-step explanation:
A) 3x + 8 = 23
3x = 23 - 8
3x = 15
x = 15 / 3 = 5
B) 5x + 1 = 3x + 17
5x - 3x = 17 - 1
2x = 16
x = 16 /2 = 8
C) 4 (x+2) = 32
4x + 8 = 32
4x = 32 - 8
4x = 24
x = 24 / 4 = 6
68= 4x-2+30 (notice they are vertical angles)
68= 4x+28
40=4x
10=x
68+y= 180 (forms a straight angle)
y=112
Final answer: x=10, y=112
