Find the equation of the tangent and normal line to the following curves at a given specified point. Write the equation in slope-intercept and general equation form. Graph the curve, the tangent line, the normal line and the point of intersection of the lines and the curve.

Q: Find the equation of the line through the points (3, 4) and (-2,9). Enter your answer in…

A: Given that, coordinates of a line; (3, 4) and (-2, 9) . The slope of a line passing through the…

Q: Find the equation and sketch the graph of the following line. Through (2, 0), with slope 5.

A: We have to find the equation of line and sketch the graph of line where line is passing through 2, 0…

Q: Which equation best describes the relationship between x and y in the given table? (TEK 8.5A,B) A. y…

A: Given data, X Y X*Y X*X -4 8 -32 16 -2 5 -10 4 1 0.5 0.5 1 4 -4 -16 16 8 -10 -80 64…

Q: Plot the points (-3, 8) and (5,-8) on the plan below. Determine the slope-intercept form of the…

A: To plot the points -3, 8 and 5, -8 on the plan below. To determine the slope‐intercept form of the…

Q: Write the slope intercept of the equation of the line through the given point with the given slope

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Q: Write equations in slope-intercept form for three different lines that intersect at (–2, 3). Show…

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Q: I an equation for the line with slope m = 2 and which passes through the point - 10). er an equation…

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Q: Find the area bounded by the curve y = (x - 2)² and y - 2 = x.

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Q: The time needed to install computer cables has a linear relationship with the number of feet of…

A: Points (1.5, 300),(4, 1050)

Q: Write an equation for a line perpendicular to y = 5x – 4 and passing through the point (5, -4). y =

A: first we will find slope of equation then we will piut point and find valuer of c

Q: Let x=1 correspond to the year 2017. Find the slope -intercept form of the equation for the line…

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Q: (2, 15), slope-intercept form.

A: