B. 3y² + 2xy = 8 dy dx m TL Equation of tangent line m. NL Equation of normal line

Q: find equation of straight line passing through(1,-2)and (3,1) using point slope form.write this eq…

A: Line passing through the points 1, -2 & 3, 1. Equation of the line is, y--2=1--23-1x-1…

Q: Determine the point on the curve y = 19x² closest to the point (0, 5) with x>0. What is the slope of…

A:

Q: Find an equation of the line with slope 5 containing thepoint (2, - 4)

A: To find the equation of the line, use the slope-point form, y-y1=m(x-x1) and substitute (x1,y1) with…

Q: Use the given conditions Slope = 4, passing through (1, 3) to write an equation for the line in…

A: Slope intercept form is y = mx +b, where, m = slope and b = y – intercept.…

Q: Find an equation for the circle that goes through the points (0,0), (0,8), and (6,12). Then find an…

A: Let the equation of the circle be      (x - a)2 + (y - b)2 = r2   . . . . . . . . . . . . (1)  Now,…

Q: Find the equation for the horizontal line passing through the point (15, 9)

A: If y always equals 9 then the x value will change but then y value will not. This means that the…

Q: Find equation of two different lines l2 and l3 through the point (6,-4) that are parallel to the…

A: The equation of line in standard form is ax+by=k where k is a constant. Since the equation of the…

Q: Find equation of two different lines l2 and l3 through the point (6, -4) that are perpendicular to…

A: According to the Question , l2is prependicular to l1 (2x-3y=5) Now, 2x-3y=5⇒3y=2x-5⇒y=23x-53 ⇒Slope…

Q: Given m=3, find the equation of the line in slope-intercept form passing through the point (5,5)

A:

Q: Find the distance between the pair of points (-4, 3) and (-2, 5). If necessary, express answers in…

A: The points are A(-4,3) and B(-2,5).   The distance between two points is given by the following…

Q: Find the equation (in terms of x) of the line through the points (-4,-3) and (3,11)

A: Given: To determine the equation of line through the points (-4, -3) and (3,11)

Q: Find the distance between the points (3, 8) and (-1, 11) and the slope of the line containing them.

A: We need to find the distance between (3, 8) and (-1, 11). Compute the distance between x1, y1, x2,…