Question

Find the value of m and c if the line y=mx+c passes through the points (2,1)and (3,2)?

Answer 1

Answer:

m= 1

c= -1

Step-by-step explanation:

when coordinates are (2,1)

y=mx+c

substitute the x and y values in the equation.

1=2m+c...(1)

when coordinates are (3,2)

y=mx+c

substitute the x and y values I the equation.

2=3m+c...(2)

Elimination method

subtract equation (1) and (2)

2m+c=1

-3m-c=-2

---------------

-m = -1

m = 1

substitute the value of m in equation (1)

consider, 2m+c=1

c=-1