Question

find the point of intersection of the line. joining points (-3,7)(2,-4)and(4,6)(-5,-6).also find the point of intersection of these lines and also their intersection with the axis. (graph) ​

Answer 1

Answer:

Step-by-step explanation:

We are supposed to find the point of intersection of the line. joining points (-3,7)(2,-4)and(4,6)(-5,-6).

A=$(x_1,y_1)=(-3,7)$

B = $(x_2,y_2)=(2,-4)$

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$AB=\sqrt{(2+3)^2+(-4-7)^2}$

$AB=12.083$

two point slope form : $y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

AB=$y-7=\frac{-4-7}{2+3}(x+3)$

AB=$y=\frac{1}{5}(2-11x)$ ---1

C=$(x_1,y_1)=(4,6)$

D = $(x_2,y_2)=(-5,-6)$

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$CD=\sqrt{(-5-4)^2+(-6-6)^2}$

$CD=15$

two point slope form : $y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

CD=$y-6=\frac{-6-6}{-5-6}(x-4)$

CD=$y=\frac{6}{11}(2x-3)$---B

Plot the lines AB and CD

AB =$y=\frac{1}{5}(2-11x)$  -- Blue

CD =$y=\frac{6}{11}(2x-3)$ -- Green

intersection point = (0.619,-0.961)

Intersection of AB with axis : with y axis = (0,0.4) , with x axis = (0.182,0)

Intersection of CD with axis : with y axis = (0,-1.636) , with x axis = (1.5,0)

Answer 2

Step-by-step explanation:

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