Answer :
[tex]The\ slope-intercept\ form:y=mx+b\\\\m=\frac{y_2-y_1}{x_2-x_1}\\\\(-2;\ 2);\ (2;\ 4)\\\\m=\frac{4-2}{2-(-2)}=\frac{2}{4}=\frac{1}{2}\\\\y=\frac{1}{2}x+b;\ (2;\ 4)\\\\substitute\ x=2\ and\ y=4:\\\\\frac{1}{2}\cdot2+b=4\\\\1+b=4\\\\b=4-1\\\\b=3\\\\y-intercept\ is\ 3.\\\\Answer:y=\frac{1}{2}x+3[/tex]
the slope intercept form which is also expressed as the variable b : 3
the new equation found which is now written in slope intercept form: y= 1/2x + 3
the new equation found which is now written in slope intercept form: y= 1/2x + 3
