answers
6. y = -1/2x + 8
7. y = 15
8. y = -3/4x + 1
9. y = 6x + 3
10. y = 1/3x - 4
steps
equation of the line that is perpendicular means the number next to the x should be a negative reciprocal
number next to the x is the slope
6. y=2x+5
y = mx + b
m = 2
b = -5
negative reciprocal would be
-1/2x
m = -1/2
(2, 7) means x = 2 y = 7
substitute
7 = -1/2(2) + b
7 = -1 + b
b = 8
answer is y = -1/2x + 8
7.
y = 5; (11, 15)
b = 5
m would be 0 because there is no slope
15 = 0*11 + b
b = 15
y = 15
8.
line goes through
(0,-2) and (3,2)
get slope
y2-y1/x2-x1
2-(-2) / 3 - 0
4/3
y = 4/3x
point slope form
y - y1 = m (x-x1)
y - -2 = 4/3 (x - 0)
y+2 = 4/3x
y = 4/3x - 2
negative reciprocal slope would be for perpendicular
-3/4x
(12, 10)
y = mx + b
10 = 3/4(12) + b
10 = 9 + b
1 = b
b = 1
y = -3/4x + 1
9.
y = -1/6x + 1; (− 2, — 9)
negative reciprocal slope would be for perpendicular
+6x
(− 2, — 9)
y = mx + b
get b
-9 = 6(-2) + b
-9 = -12 + b
b = 3
y = 6x + 3
10.
6x+2y=14; (12, 0)
2y= -6x+14
y= -3x+7
negative reciprocal slope would be for perpendicular
1/3x
y = mx + b
get b
0 = 1/3(12) + b
0 = 4 + b
b = -4
y = 1/3x - 4