Line v has an equation of y = -5x + 6. Line w includes the point (-1,-2) and is perpendicular to line v. What is the equation of line w? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers. ______

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Line v has an equation of y = -5x + 6. Line w includes the point (-1,-2) and is perpendicular to line v. What is the equation of line w? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.   ______

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Determine slope of line v: Determine the slope of line v. The equation of line v is given as y = -5x + 6. The slope (m) of a line in the slope-intercept form y = mx + b is the coefficient of x. Therefore, the slope of line v is -5.Find slope of line w: Find the slope of line w. Since line w is perpendicular to line v, its slope will be the negative reciprocal of the slope of line v. The negative reciprocal of -5 is 1/5. Therefore, the slope of line w is 1/5.Use point-slope form: Use the point-slope form to find the equation of line w. We have the slope of line w (1/5) and a point that lies on it (-1,-2). The point-slope form of a line's equation is y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point on the line. Plugging in the values, we get y - (-2) = 1/5(x - (-1)).Simplify equation to slope-intercept form: Simplify the equation from the point-slope form to the slope-intercept form. Starting with y + 2 = 1/5(x + 1), we distribute the slope on the right side to get y + 2 = 1/5x + 1/5. Then, we subtract 2 from both sides to isolate y, resulting in y = 1/5x + 1/5 - 2.Combine like terms: Combine like terms to get the final equation of line w. We need to combine 1/5 - 2. Since 2 is the same as 10/5, we have y = 1/5x + 1/5 - 10/5, which simplifies to y = 1/5x - 9/5. This is the equation of line w in slope-intercept form.

Line $v$ has an equation of $y = -5x + 6$ . Line $w$ includes the point $(-1,-2)$ and is perpendicular to line $v$ . What is the equation of line $w$ ? $\newline$ Write the equation in slope-intercept form.

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Line vvv has an equation of y=−5x+6y = -5x + 6y=−5x+6. Line www includes the point (−1,−2)(-1,-2)(−1,−2) and is perpendicular to line vvv. What is the equation of line www?\newlineWrite the equation in slope-intercept form.

Line $v$ has an equation of $y = -5x + 6$ . Line $w$ includes the point $(-1,-2)$ and is perpendicular to line $v$ . What is the equation of line $w$ ? $\newline$ Write the equation in slope-intercept form.