Question

A straight line passes through the points (2,4) and (5,-2) C Taking icm =1 unit. Mark these points on a Graph paper and draw the straight line through these points. If points (m,-4) and (3, n)lie on the line drawn, find the values m and n.​

Answer 1

Answer:

Step-by-step explanation:

Slope of a line ==  

x  

2

​

−x  

1

​

 

y  

2

​

−y  

1

​

 

​

 

=  

2−5

4−(−2)

​

=  

−3

6

​

=−2

Equation of a line y=m(x)+c

(y−y  

1

​

)=m(x−x  

1

​

)

y−4=−2(x−2)

2x+y−4−4=0

2x+y−8=0

So, for y=−4,x=6 and for x=3,y=2.

m=6,n=2