The equation of the line parallel to y=-2x-5 and passing through the point (-1,3) is y = -2x + 1.
What is an equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given that:-
- A line is parallel to y=-2x-5 and intersects the point (-1,3)
The equation of the new line will be:-
y - y₁ = m ( x - x₁ )
Since the line is parallel to the line y = -2x - 5 so slope will be same m = -2 now the coordinates are ( -1, 3).
y - ( 3) = -2 [( x - (-1) ]
y - 3 = -2x - 2
y = -2x + 3 -2
Y = -2x + 1
Therefore the equation of the line parallel to y=-2x-5 and passing through the point (-1,3) is y = -2x + 1.
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