1. y - y1 = m(x - x1) slope(m) = -1/3 (3,6)...x1 = 3 and y1 = 6 now we sub y - 6 = -1/3(x - 3) <==
2. y - 9 = -(x + 2) y - 9 = -x - 2 y = -x - 2 + 9 y = -x + 7 <===
3. y - y1 = m(x - x1) slope(m) = 0....horizontal lines have 0 slopes (-4,-1)...x1 = -4 and y1 = -1 now we sub y - (-1) = 0(x - (-4) y + 1 = 0(x + 4) <===
4. x + 3y = 6 3y = -x + 6 y = -1/3x + 2.....slope here is -1/3. A parallel line will have the same slope
y = mx + b slope(m) = -1/3 (5,3)...x = 5 and y = 3 now we sub and find b, the y int 3 = -1/3(5) + b 3 = -5/3 + b 3 + 5/3 = b 9/3 + 5/3 = b 14/3 = b ur equation is : y = -1/3x + 14/3
5. Perpendicular lines have negative reciprocal slopes. For example : the slope of one line will be 3 and the slope of the other line would be -1/3.