Write an equation for the line through the point (-3,-5) and parallel to the line y = 2x - 4 in point-slope form y = y_o + m(x - x_o)

atarentspe

atarentspe

Answered question

2022-09-01

Wrtite an equation for the line through the point (-3,-5) and parallel to the line y = 2 x 4 in point-slope form y = y 0 + m ( x x 0 )

Answer & Explanation

madirans2m

madirans2m

Beginner2022-09-02Added 17 answers

The given point is P(-3,-5) and the given line is L: y = 2 x 4
The slope of the line L is, m=2
Now any line paralled to the line L has the same slope i.e m=2
So, equation of the line passing through P and having slope m is given by,
y ( 5 ) = 2 ( x ( 3 ) ) y = 5 + 2 ( x + 3 )
This is the required point slope form:
y = y 0 + m ( x x 0 )

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