9.Reduce the general equation of the given straight line y-x 3=4 to the normal form.

Q: What is the families of the curve of all straight lines through the fixed point (h,k).

A: The differential equation representing the families of curve of all straight lines through the fixed…

Q: Find the equation of the line with the given description. Parallel to y = 3x − 4, passes through (1,…

A: Slope of the line y=3x-4 is 3 A line parallel to it will also have slope= 3 So, slope=m=3 and passes…

Q: What is the equation of a line parallel to 킹 =Dz+ 2 that passes through (1, 2)?

A:

Q: 15. Find the point on the line y 3x that is closest to the point (50,0).

A:

Q: If j 1k and line j has slope , then k has slope

A: Given:j⊥k Slope of j =23Slope of k=?Perpendicular slope:m1×m2 =-1

Q: Find the equation of a line normal to the graph of y = 3x+5/x−1 at x = 3

A:

Q: What is the equation of the line tangent to the graph of y = 2x³/2 at the origin? Oy=0 Oy = 2r Oy =…

A:

Q: 4. What is the equation of a line parallel to the diameter of circle A, with a center at (-5,7) and…

A: Given query is to find the line which parallel to the given line.

Q: Find an equation of the line L. Lis perpendicular to y = - 2x. y = - 2x 8 (-3,6) L -8

A: Topic = Coordinate geometry

Q: Find the point on the graph of y = 3x2 − 2x + 5 where the tangent line is perpendicular to the line…

A:

Q: The slope of the line tangent to the graph of 3x +5In y 12 at (2, 1) is 12 (A) 12 (B) 5. (C) 12 4.

A: Given that 3x2+5lny=12To find : Slope of the tangent line at point 2,1Solution :

Q: Q)Suppose that one line is parallel y=13x+ 13 and passes through (15,7). Where does that line cross…

A: Given :  y=13x+ 13  compare with y = mx + c slope m = 13

Q: m=--. Find the equation of line passing through point (1, 2) with slope 4

A: Equation of the line with the slope m and passing through the point (x1,y1) is:

Q: What are the coordinates of the points in the graph of y2-x²+ 6x – 13=0 in which the tangent line is…

A:

Q: 4)Solve for the family of curves of straight lines with y-intercepts thrice as their corresponding…

A:

Q: What is the equation of the curve that passes through (1,3), if its slope is given by dy = 3x2 at…

A:

Q: Suppose that the consumer price index (CPI), which measures the cost of a typical package of…

A: Consider two points (x1, y1) and (x2, y2). Then, the regression equation is, (y – y1)/(x – x1) = (y2…

Q: Find an equation of the normal line to the parabola y = x 2 - 5 x + 4 that is parallel to the line…

A: Given:       y=x2-5x+4 is parallel to the line x-3y=5.

Q: Thus, to find the slope of the secant line passing through P(2, 4) and Q(3, 3.), substitute x for x…

A: Topic:- Coordinate Geometry

Q: Find the equation of a line perpendicular to y=−x−1 that contains the point (1,2).

A: We have to find the equation

Q: 1. Find the DE of all straight lines with slope and y-intercept equal.

A:

Q: 2. All straight lines with slope and y-intercept equal. У (x + 1) — у %3D0 ans.

A: It can be solved as follows

Q: 6. Use the given conditions to write an equation for the line in point-slope form. Slope = -1,…

A:

Q: What is the slope of the curve at the point (0, 1). x^2+y^2-12x+4y=5

A:

Q: Find the time required to produce 20th units, if the slope parameter of learning rate is 95% and the…

A: Given, The slope parameter of learning rate is 95% and the first unit take 425 hours.   Time to…

Q: What is the equation of the line tangent to the graph of y = (2x+3)/(3x-2) at the point (1,5)? 13x -…

A:

Q: What is the equation of the normal line to the parabola y = 2x? – 5x + 1 at the point on the…

A:

Q: B - Find the equation of the curve whose slope at any point p(x.y) is m = x(x+5)?, and passing…

A:

Q: What is the slope of the line

A:

Q: 7 The equation of a line parallel to the line y =x+1 is:

A: Two lines are said to be parallel when slope of lines are equal Here given equation y = (7/3)x +1

Q: Find the point on the line y = 4x + 3 that is closest to the origin. (х, у) %3D

A:

Q: Find an equation of the line L. L is perpendicular to y = 2x.

A: In general, the equation of line is y=mx+c where, m=slope, c=y-intercept Given, y=2x  m=2

Q: y E

A:

Q: 2 5. Write the equation of the line tangent to y=4-x when x=-1.

A:

Q: 19. What is the equation in slope-intercept form for the line parallel to y = -3x + 9 that contains…

A:

Q: For what values of a and b is the line 4x+y=b4x+y=b tangent to the curve y=ax3y=ax3 when x=5x=5? a=…

A:

Q: 14) Identify the point slope form of the line below. A) y - 3-+ 1) B) y+3-1) C) y+3=-+1) y-3D E) y -…

A:

Q: 9. What point on the line y=3x+4 is closest to the origin?

A: Given that: y=3x+4

Q: what point will you be indifferent between your current location and the new location?

A:

Q: 9) Find the point on the line y = 3x - 4 that is closest to (2, 1).

A:

Q: Identify the slope from the line of best fit y = |- 0 NIN 31 0-²

A: Solution-: The given regression line is  y=27-13*x We want find the slope of the regression line

Q: What can you conclude if you know that the point (p, q) lies on the line y — тх + b?

A: The given equation of the line is, y=mx+b If a point lies on the line then the point satisfies the…

Q: 19. Find the point on the line y= 2x + 3 that is closest to the origin.

A:

Q: Determine the equation of the line parallel to y+1=0 and tangent to y = 3x – 5x + 4 -

A: Recall that the slope of the parallel lines is equal. And the slope of the tangent line at any point…

Q: Find an equation of the line satisfying the following conditions. Through point (1, –5);…

A:

Q: Find the equations of the line tangent to the curve y = x³ + x , where the slope is equal to 4.

A:

Q: 4 Adjust the equation so the line passes through the points.

A: Given:   according to  graph dotted point will be 4,2 so, we have two points on line as 0,0,4,2.…

Q: What is the slope Curve y = of the +9 tengent Jine to the when X=4?

A:

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.