Answer:
[tex]y=\frac{1}{2}x+2[/tex]
Step-by-step explanation:
Let's take points (2,3) and (-4,0)
Slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\Rightarrow m=\frac{0-3}{-4-2}\\\Rightarrow m=\frac{3}{6}\\\Rightarrow m=\frac{1}{2}[/tex]
So,
[tex]y=mx+c\\\Rightarrow y=\frac{1}{2}x+c[/tex]
To find c we put value of (2,3) in the equation
[tex]3=\frac{1}{2}2+c\\\Rightarrow 3-1=c\\\Rightarrow 2=c[/tex]
Equation of line
[tex]y=\frac{1}{2}x+2[/tex]
