Given
Two points (-2, 1 ) and ( 2, 3 )
Find
Equation of a line in slope intercept form
Explanation
as, slope of a line passing two points is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Now, we find slope of a line
[tex]m=\frac{3-1}{2-(-2)}=\frac{2}{4}=\frac{1}{2}[/tex]
Slope intercept form is
[tex]y=mx+b[/tex]
so,
[tex]\begin{gathered} y=\frac{1}{2}x+b \\ 1=\frac{1}{2}\times(-2)+b \\ 1=-1+b \\ 2=b \end{gathered}[/tex]
so, slope intercept form is
[tex]\begin{gathered} y=\frac{1}{2}x+2 \\ 2y=x+2 \end{gathered}[/tex]
Final Answer
Slope intercept form is
[tex]2y-x=2[/tex]
