Question

A straight line y = mx + c is parallel to y = 3x + 2 and passes through the point (1 , 2). Find the values of m and c.

Answer 1

Answer:

Step-by-step explanation:

$\tt{Since\,\,\,the\,\,\,line\,\,\,\blue{y=mx+c}\,\,\,is\,\,\,parallel\,\,\,to\,\,\,\green{y=3x+2}}$

$\tt{So,\,\,\,\purple{m=3}}$

Since the line passes through (1, 2), so,

$\sf{2=3(1)+c}$

$\sf{\implies\,2=3+c}$

$\sf{\implies\,c=-1}$

$\boxed{\sf{\bold{Hence,\,\,\,the\,\,\,required\,\,\,line\,:\,\,\red{y=3x-1}}}}$