Answer:
yes
Step-by-step explanation:
Answer:
5x - y = 27
Step-by-step explanation:
Slope is the direction of line and it is calculated as,
where (x₁, y₁) is any two points on the line.
Here, we have given that
Slope = 5 and (x₁, y₁) = (5, -2)
∴ 
⇒ 5(x - 5) = y + 2
⇒ 5x - 25 = y + 2
⇒ 5x - y = 27
Hence, the equation of a line is: 5x - y = 27
Based on the calculations, we can logically deduce that the y-intercept of this sine function is equal to: A. 3.
<u>Given the following data:</u>
<h3>How to determine the y-intercept of this function?</h3>
Mathematically, a sine function is modeled by this equation:
y = Asin(ωt + ø)
<u>Where:</u>
- A represents the amplitude.
- ω represents angular velocity.
- ø represents the phase shift.
Also, the period of a sine wave is given by:
t = 2π/ω
2 = 2π/ω
ω = 2
Substituting the given parameters into the equation, we have;
y = 3sin(2t + π/2)
At t = 0, we have:
y = 3sin(2(0) + π/2)
y = 3sin(π/2)
y = 3sin(90)
y = 3 × 1
y = 3.
In conclusion, we can logically deduce that the y-intercept of this sine function is equal to 3.
Read more on phase shift here: brainly.com/question/27692212
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Answer:
As eq of line passing through 2 points is
y-y1 = (y2-y1)/(x2-x1) ][ x -x1)
where (X1,y1)( x2, y2) denotes points lying on line
substitute (X1 ,y1) by( -1,-2) and (X2,y2) by( 2,4)
y+2 = 6/3 )( x+1)
y+2= 2x +2
y = 2x is required equation
