Answer:
y = 2x + 5
Step-by-step explanation:
There are 2 ways to find this equation:
The first way: We have: y = ax + b (this is the line, right?)
The line is through the point (-2, 1) so we have:
1 = (-2)a + b (1)
The line is also through the point (2, 9) so we have:
9 = 2a + b. (2)
From (1) and (2) we get a equals 2, b equals 5. Then:
y = 2x + 5
The second way:
Let A(-2, 1) and B(2, 9), then AB = (4, 8).
=> The normal vector of this line is n = (-2, 1).
The line that is through the points A(-2, 1) and B(2, 9), and has the normal vector n=(-2, 1) has the equation:
Answer:
Step-by-step explanation:
From table 1,
f(x) = bˣ
For x = -1,
f(-1) = 0.5
0.5 = (b)⁻¹
b =
b = 2
For x = 1.585,
f(1.585) = 3
3 =
3 =
For x = 2.585,
f(2.585) =
=
= 4 × 1.5 [Since, ]
= 6
From table 2,
g(x) =
For x = 0.5,
g(0.5) = -1
-1 =
b⁻¹ = 0.5
b = 2
For x = 2,
g(2) = 1
1 =
For x = 6,
g(6) = 2.585
2.585 =
2.585 =
2.585 =
2.858 - 1 =
For x = 3,
g(3) =
g(3) = 1.585