Answer:
The answers are:
1) y + 4 = -5/6(x - 8), which is A, the first option.
2) y - 1 = 5/6(x + 8), which is D, the last option.
3) y + 1 = 6/11(x + 4), which is option C, the third option
4) - y + 3 = -12/7(x - 5), which is option B, the second from the top
5) Plot these points on a graph:
(-1, 5 1/2)
(0, 5 1/4)
(1, 5)
(2, 4 3/4)
Step-by-step explanation:
Question 1:
y - y1 = m(x - x1)
y - (-4) = -5/6(x - 8)
y + 4 = -5/6(x - 8), which is A, the first option.
Question 2:
y - y1 = m(x - x1)
y - 1 = 5/6(x - (-8))
y - 1 = 5/6(x + 8), which is D, the last option.
Question 3:
m = (y - y1)/(x - x1)
m = (5 - (-1)) / (7 - (- 4))
m = (5 + 1) / (7 + 4)
m = 6 / 11
Use the point slope equation and (-4, -1), substitute:
y - y1 = m(x - x1)
y - (-1) = 6/11(x - (-4))
y + 1 = 6/11(x + 4), which is option C, the third option
Question 4:
m = (y - y1)/(x - x1)
m = (-3 - 9)/(5 - (- 2))
m = -12 / (5 + 2)
m = -12/7
Use the point slope equation and (5, -3), substitute:
y - y1 = m(x - x1)
y - (-3) = -12/7(x - 5)
y + 3 = -12/7(x - 5), which is option B, the second from the top
Question 5:
Solve for y, then calculate a few points, graph those points:
y - 4 = -1/4(x - 5)
y - 4 = -1/4x + 5/4
y = -1/4x + 5/4 + 4
y = -1/4x + 5/4 + 16/4
y = -1/4x + 21/4
Solve for x = -1, 0, 1, 2:
f(-1) = -1/4(-1) + 21/4 = 1/4 + 21/4 = 22/4 = 5 1/2, giving point (-1, 5 1/2)
f(0) = 21/4 or 5 1/4 giving point (0, 5 1/4)
f(1) = -1/4 + 21/4 = 20/4 = 5, giving point (1, 5)
f(2) = -1/4(2) + 21/4 = -2/4 + 21/4 = 19/4 or 4 3/4, giving point (2, 4 3/4)
