Find the slope of the curve at the indicated point. Find the equations of the tangent and normal lines at point indicated. Draw the figure indiciating the tangent and normal lines. y^2-8x+6y+17=0 at (3,-7)

Q: Find the equation of the line passing through the point (−4,2)-4,2 and perpendicular to the line…

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Q: The line with a y-intercept at (0, -4) and an x-intercept at (6, 0). Equation:

A: we have to find the equation of a line with a y-intercept at (0,-4) and an x intercept at (6,0)

Q: Find the equation of a line parallel to x=−5 that contains the point (3,−2).

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Q: Find an equation for the line with the given properties. Use lowercase letter x for the…

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Q: Find the slope of the line containing the points (2,1) and (-3, 1). Then write the equation of the…

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Q: Find an equation of the line through the point (3, 2) that is parallel to the line 2x +y +5 = 0.

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Q: Find the equation of the line that passage through the given point and has the given slope.(use x as…

A: Use equation of line

Q: Find the equation of the line passing through the point (−8,4)-8,4 and perpendicular to the line…

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Q: Find the equation of the line that passes through the point (10, 6) and has slope −35−35. Simplify…

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Q: The life expectancy y for females born in a country is given by the equitation y=0.14x+71.5, where x…

A: We have given that life expectancy (y) for females born in a country is given by the equation…

Q: Find an equation of a line parallel to the line y =1/2x − 3 that contains the point (6, 4).…

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Q: Find the equation for the line passing through the point (4, –1) and parallel to the line whose…

A: →The General equation of a straight line is given by Y = mX+C ; where m = slope of straight line.…

Q: Find the equation for the line that passes through ( – 9, – 9) that has slope Give your answer in 2…

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Q: Find the curve having the given slope that passes through the indicated point y'= 2x - 5,(5,4).

A: We have the slope of the curve given as y'=2x-5dydx=2x-5 Now, ∫dy=∫2x-5dxy=2x22-5x+Cy=x2-5x+C

Q: Find an equation of the line that passes through the point (2, -4) and is parallel to the line 3x -…

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Q: Find the equation of the line perpendicular to y = 9 through the point (4, – 8)

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Q: Find an equation of the curve that passes through the point and has the given slope. (Enter your…

A: Solve for the equation

Q: Find the equation of a line perpendicular to −4x+y=−5 that contains the point (−5,1).

A: We have to find the line perpendicular to y=4x-5 and passing through (-5,1)

Q: Find the equation of the line perpendicular to y = 6 through the point (8, - 1)

A: Given that: Required line is perpendicular to y=6 and passing through (8, -1)

Q: Write an equation ​(a) in standard form and ​(b) in​ slope-intercept form for the line described.…

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Q: Find the equation of the line passes through the point (9,4) and has a slope 5/3. Simplify your…

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Q: Find the equation of the line that passes through the point (10, 6) and has slope −3/5. Simplify…

A: To find the equation of line

Q: Find the equation (in slope-intercept form) of the line with the given slope that passes through the…

A: Find the equation of a line in slope-intercept form, which passes through the point (0, -1) and the…

Q: Find an equation of the line parallel to the line y = 2 /3 x - 4 that passes through the point (6,…

A: The general form of equation straight line is ax+by+c=0 , where a,b, and c are constants . The slope…

Q: 2. Which equation has a slope of -2 and passes through Point (1, -6)? A y = -2x - 4 Cy = -2x - 8 By…

A: We can solve question no 2 as below.

Q: Find the equation of line that passes through the point (-7,-8) and perpendicular to the line meetin…

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Q: Find the equation of the line parallel to the line y=2x+1 and containing the point (3,5) . Express…

A: Given line,   y = 2x + 1 slope-intercept form, y = mx + c slope of the given line, m1 = 2 A line…

Q: Find the equation of the curve whose slope is given by 8 1 + x2 and the curve passes through the…

A: Solution

Q: Find the equation of the line passing through the point (−2,−6) and parallel to the line y=6x+7 You…

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Q: Find the equation of the line that passes through the point (3, 28) and has slope 11. Simplify your…

A: Given,          The point is 3,28 and slope is 11.

Q: 8 y = x = 7 4+x ' ||

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Q: Find the equation of a line tangent to the circle x² + y² + 2x-4y-31 = 0 at the point (5,2). Draw…

A: Equation of tangent line to circle

Q: Find the slope of equation at the given point

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Q: 3. 2x − y = 4 at point (0,−4)

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Q: Find the slope of the line passing through the point (4,10) and perpendicular to the x+2y=5 line and…

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Q: The equation of the line (in slope-intercept form) parallel to 9x – y = 8 that passes through the…

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Q: Identify the equation of the line that is perpendicular to the line y = -x - 1 and passes through…

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Q: Find an equation for the line that passes through the point (2, -5) and is parallel to the y-axis

A: To find the equation of line passes through the point 2,-5 and is parallel to the y-axis. We know…

Q: 2x +4y = 2.

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Q: 2. Find the slope-intercept form for the equation of the line which passes through the point ( 7,…

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Q: Find an equation of the curve that passes through the point and has the given slope. (Enter your…

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Q: Write equation of a line perpendicular to y=2x+2 & through the point (7,-2) in point slope.

A: Given query is to find the equation of the line.

Q: Find an equation of the line that passes through the point (5, 4) and has a slope m of 0.

A: A line with slope 0 is parallel to the horizontal axis.

Q: Find the equation of the line parallel to y = 2x - 3 that passes through the point (5, 2). y =

A: Here we have to find the equation of the line parallel to y=2x -3 that passes through the line…

Q: Find the equation of the line passing through the point (−8,4) and perpendicular to the line…

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Q: Find the equation of the line passing through the point (−2,−6)-2,-6 and parallel to the line…

A: topic - equation of a line  coefficient of x is slope of line in slope intercept form  coefficient…

Q: The line parallel to y=2x-5 that goes through the point (1,7)

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Q: Find the equation of the line that passes through the point (3, 21) and has slope 4. Simplify your…

A: To find the equation of line

Q: The slope of a line that is parallel to 6x- y 4 is m = The equation of the line (in slope-intercept…

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Q: Find the curve having the given slope that passes through the indicated point. 2). y' 3 х2 — 2х - 4,…

A: Question 2,Given,            y'=x2-2x-4 , 3,-6To find : The curve using the point and slope.We know…