Answer:
Equation: 
Step-by-step explanation:
Slope = 4/3
Y-intercept = -3
Therefore;
Equation: y = mx + b
Equation: 
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The slope of a line is given by the ratio of the rise to the run of the line.
The value of, y is <u>4</u>
Reasons:
The given points on the line are; (-4, y), and (5, 7)
The slope of the line, = 
Required:
To find the value of <em>y</em>
<em />
Solution:
The formula for the slope is given as follows;

Where;
(x₁, y₁) = (-4, y)
(x₂, y₂) = (5, 7)
Which gives;

3·(7 - y) = 1·(5 + 4) = 9
21 - 3·y = 9
3·y = 21 - 9 = 12

The value of, y = <u>4</u>
Learn more here:
brainly.com/question/1617757
x = 9.21° or x = 22.5°
cot²2x – 4cot2x + 3 = 0
Let cot2x = y
y² - 4y + 3 = 0
Factorizing, we have
y² - y - 3y + 3 = 0
y(y - 1) -3(y - 1) = 0
(y - 1)(y - 3) = 0
y - 1 = 0 or y - 3 = 0
y = 1 or y = 3
Since cot2x = y
cot2x = 1 or cot2x = 3
1/tan2x = 1 or 1/tan2x = 3
tan2x = 1 or tan2x = 1/3
2x = tan⁻¹(1) or 2x = tan⁻¹(1/3)
2x = 45° or 2x = 18.43°
x = 45°/2 or x = 18.43°/2
x = 22.5° or x = 9.21°
So, x = 9.21° or x = 22.5°
Learn more about cotx here:
brainly.com/question/15546709
Answer: 390
Step-by-step explanation: