Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form. Passing through $(-5,-2)$ and parallel to the line whose equation is $y=-5 x+5$
Write an equation for the line in point-slope form.
(Simplify your answer. Use integers or fractions for any numbers in the equation.)

Answer

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Answer

$\boxed{y + 2 = -5(x + 5)}$

Steps

Step 1 ：Given a point $(-5, -2)$ and a line parallel to $y = -5x + 5$

Step 2 ：Since parallel lines have the same slope, the slope of the required line is $-5$

Step 3 ：Use the point-slope form of a line: $y - y_1 = m(x - x_1)$

Step 4 ：Substitute the given point $(-5, -2)$ and slope $-5$ into the equation: $y - (-2) = -5(x - (-5))$

Step 5 ：$\boxed{y + 2 = -5(x + 5)}$