Answer:
The equation of line with given points is 2Y - X - 5 = 0
Step-by-step explanation:
Given points are ( - 3 , 1) and (9 , 7)
Equation of line is y = mx +c
where m is the slop of line
Now m = [tex]\frac{y2 - y1}{x2 - x1}[/tex]
Or, m = [tex]\frac{7 - 1}{9 + 3}[/tex]
so, slop = [tex]\frac{6}{12}[/tex]
∴ slop = [tex]\frac{1}{2}[/tex]
Now the equation of line with points ( -3 , 1) and slop m is :
Y - y1 = m ( X - x1)
Or, Y - 1 = [tex]\frac{1}{2}[/tex] (X + 3)
Or, 2Y - X - 5 = 0
Hence The equation of line with given points is 2Y - X - 5 = 0 Answer
