The equation of line u is 2x+9y=5. Line v is parallel to line u and passes through (-9,-5). What is the equation of line v ?

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The equation of line  u is  2x+9y=5. Line  v is parallel to line  u and passes through  (-9,-5). What is the equation of line  v ?

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Find Slope of Line u: Determine the slope of line u. Line u has the equation 2x + 9y = 5. To find the slope, we need to rewrite this equation in slope-intercept form, which is y = mx + b, where m is the slope.Convert to Slope-Intercept Form: Convert the equation of line u into slope-intercept form. Starting with 2x + 9y = 5, we subtract 2x from both sides to get 9y = -2x + 5. Then, we divide both sides by 9 to isolate y, which gives us y = (-2/9)x + 5/9. The slope of line u is -2/9.Parallel Line v Slope: Since line v is parallel to line u, it will have the same slope. The slope of line v is also -2/9.Use Point-Slope Form: Use the point-slope form to find the equation of line v. The point-slope form of a line is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. We know that line v passes through the point (-9, -5) and has a slope of -2/9.Plug Slope and Point: Plug the slope and the point into the point-slope form equation. Using the point (-9, -5) and the slope -2/9, we get y - (-5) = (-2/9)(x - (-9)).Simplify Point-Slope Equation: Simplify the equation from the previous step. This simplifies to y + 5 = (-2/9)(x + 9).Distribute Slope: Distribute the slope on the right side of the equation. This gives us y + 5 = (-2/9)x - (2/9)(9).Simplify Constant Term: Simplify the constant term on the right side of the equation. Multiplying -2/9 by 9 gives us -2. So the equation becomes y + 5 = (-2/9)x - 2.Solve for y: Subtract 5 from both sides to solve for y and put the equation in slope-intercept form. This gives us y = (-2/9)x - 2 - 5, which simplifies to y = (-2/9)x - 7.

The equation of line $u$ is $2 x+9 y=5$ . Line $v$ is parallel to line $u$ and passes through $(-9,-5)$ . What is the equation of line $v$ ?

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The equation of line u u u is 2x+9y=5 2 x+9 y=5 2x+9y=5. Line v v v is parallel to line u u u and passes through (−9,−5) (-9,-5) (−9,−5). What is the equation of line v v v ?

The equation of line $u$ is $2 x+9 y=5$ . Line $v$ is parallel to line $u$ and passes through $(-9,-5)$ . What is the equation of line $v$ ?