Find the equation of line passing through the pair of points . Write the equation in the form of Ax+By=C . (2,3) (1,-4)

Expert Solution

Given points -> (2,3) (1,-4)

We know formula for slope (m) = y2-y1/x2-x1

Putting values we get

m= -4-3/1-2

m= 7

Slope intercept form of equation is given by y= mx + b

We can find the value of b using slope and point (2,3)

Which is y=7x+b

3=7(2)+b

b= -11

Now , y= mx + b

Equation can be written as y=7x-11

In the form of Ax + By= C it can be written as 7x-y=11

Which is the required solution

Equation of the line in the form of Ax+By=C is 7x-y=11

Nikhil Thakur answered 2 years ago

4(a). Find the equation y = ax + b of the line passing through (2,3) and...

4(a). Find the equation y = ax + b of the line passing through (2,3) and (5,8). (Your answer should be an equation of the form y = ax + b, for some constants a and b.) (b) Find the equation y = ax^2 + bx + c of the parabola passing through the points (-2, -6), (1,6), and (3,4). (Your answer should be an equation of the form y = ax^2 + bx + c, for some constants a,...

Calculate the vector equation for the line passing through the points (–1, 0, 2) and (3, 4, 6) is:

Calculate the vector equation for the line passing through the points (–1, 0, 2) and (3, 4, 6).

Problem 1 Part A: Write down an equation of the line L that is passing through...

Problem 1 Part A: Write down an equation of the line L that is passing through the point A(5,4) and is perpendicular to the vector n=<-3,4>. Part B: Find the unit vector u in the direction of n. Part C: Find the distance d(Q,L) from the point Q(7, 13) to line L. Part D: Find the coordinates of the point R on L that is closest to the point Q. Part E: Now find R by solving the distance minimization...

Find an equation In slope intercept form passing through the point (-1,4) and parallel to the...

Find an equation In slope intercept form passing through the point (-1,4) and parallel to the line 2x+2y=7 Show the steps

1.) Write a slope-intercept equation for a line passing through the point (5,−3) that is parallel...

1.) Write a slope-intercept equation for a line passing through the point (5,−3) that is parallel to the line 5x+7y=8. Then write a second equation for a line passing through the point (5,−3) that is perpendicular to the line 5x+7y=8. 2.) Write a slope-intercept equation for a line passing through the point (4,−3) that is parallel to the line 4x+5y=7. Then write a second equation for a line passing through the point (4,−3) that is perpendicular to the line 4x+5y=7....

Find the intersection of the line passing through P=(21,21) and Q(−63,168) and the line passing through...

Find the intersection of the line passing through P=(21,21) and Q(−63,168) and the line passing through points R(21,0) and S(0,21) using vectors.

(b) Find the equation of the line containing the points (2,4) and (7,19).

x y 2 4 3 7 4 8 6 16 7 19 (b) Find the equation of the line containing the points (2,4) and (7,19). (d) By hand, determine the least-squares regression line (Round to three decimal places as needed). (f) Compute the sum of the squared residuals for the line found in part (b) /(Round to three decimal places as needed). (g) Compute the sum of the squared residuals for the least-squares regression line found in part (d)....

Write a Diophantine Equation program in C++. Find integer solutions to Ax + By = GCD...

Write a Diophantine Equation program in C++. Find integer solutions to Ax + By = GCD (A, B) Ex: a = 3, b = 6, c = 9 a = 2, b = 5 , c = 1

1. Find the equation of the line with slope of m = −" # and through the point (8,−1).Write your final answer in slope -intercept form.

1. Find the equation of the line with slope of m = −" # and through the point (8,−1).Write your final answer in slope -intercept form. ______________________________ 2. Find the equation of the line through the points (2,−7) ??? (−4,−8 ). Write your final answer in slope intercept form. ______________________________ 3. Find the equation of the line which passes through the point (10,−3) & is perpendicular to the line 5?+3?=2 ______________________________

Write an equation in slope-intercept form of the line that satisfies the given conditions . Through...

Write an equation in slope-intercept form of the line that satisfies the given conditions . Through (-2,-2); parrallel to -x + 2y = 10

Question