Respuesta :
Answer: y=2x-3
The model for a pen equation of a line is y=mx+b. ”m” is the slope and ”b” is the y-intercept. Since we know the slope is 2, y=2x+b. To find the value of b, substitute the given point into the equation. So, 1=2(2)+b, 1=4+b, b=-3. The equation of the line is y=2x-3.
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Answer:
y=2x-3
Step-by-step explanation:
Use the point slope formula to pass through the correct point of (2,1)
y-y1=m(x-x1)
y1 is the y value of the point you're trying to pass
m is the required slope
x1 is the x value of the point you're trying to pass
In this case, y1 would be 1, m would be 2, and x1 would be 2. Plug those values in.
y-1=2(x-2)
Distribute.
y-1=2x-4
Addition property of equality (add 1 to both sides to isolate y).
y=2x-3
There is your equation!