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What is the equation of a line that is parallel to y=-2x+5 that goes through the point (-4,1)

Sagot :

Explanation:

A line parallel to the given line will have the same slope: -2

The equation of the line has this form:

[tex]y=-2x+b[/tex]

To find the y-intercept b we use the point. Replace x = -4 and y = 1 into the expression above and solve for b:

[tex]\begin{gathered} 1=-2(-4)+b \\ 1=8+b \\ b=\frac{1}{8} \end{gathered}[/tex]

Answer:

The equation of the line is:

[tex]y=-2x+\frac{1}{8}[/tex]

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