Find the intersection of the line through (0, 1) and (4.3, 2) and the line through (2.1, 3) and (5.3, 0).

The intersection of the line through (0, 1) and (4.3, 2) and the line through (2.1, 3) and (5.3, 0) is (3.392, 1.789).

Step-by-step explanation:

We know that the equation of a line that passes through two points (a,b) and (c,d) is given by :-

Similarly , the equation of line that passes through (0, 1) and (4.3, 2)  would  be:

Equation of line that passes through (2.1, 3) and (5.3, 0) would  be:

To find the intersection point (x,y) , we substitute the value of y from (2)in (1) , we get

Put value of x in (2) , we get

Hence, the intersection of the line through (0, 1) and (4.3, 2) and the line through (2.1, 3) and (5.3, 0) is (3.392, 1.789).