Write an equation for a line parallel to $y=-3 x+5$ and passing through the point $(1,-5)$
\[
y=
\]

Answer

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Answer

$\boxed{y = -3x - 2}$ is the final answer.

Steps

Step 1 ：The slope of a line parallel to another line is the same. So, the slope of the line we are looking for is -3, the same as the given line.

Step 2 ：We also know that the line we are looking for passes through the point (1, -5). We can use the point-slope form of a line, which is $y - y1 = m(x - x1)$, where m is the slope and $(x1, y1)$ is a point on the line.

Step 3 ：Substitute m = -3, x1 = 1, and y1 = -5 into the equation, we get $y - (-5) = -3(x - 1)$.

Step 4 ：Simplify the equation to get $y = -3x - 2$.

Step 5 ：$\boxed{y = -3x - 2}$ is the final answer.

Write an equation for a line parallel to $y=-3 x+5$ and passing through the point $(1,-5)$\[y=\]

Answer

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Write an equation for a line parallel to $y=-3 x+5$ and passing through the point $(1,-5)$
\[
y=
\]