ANSWER
b = 2
Option A
EXPLANATION
Given that;
[tex]\text{ y - 3 = }\frac{\text{ 1}}{\text{ 2}}x\text{ - 1}[/tex]
Follow the steps below to find the y-intercept
Recall, the slope-intercept equation is given as
y = mx + b
Where m is the slope of the line
b is the y-intercept
[tex]\begin{gathered} \text{ y - 3 = }\frac{\text{ 1}}{\text{ 2}}x\text{ - 1} \\ \text{ } \\ \text{ y - 3 = }\frac{x\text{ - 2}}{\text{ 2}} \\ \text{ cross multiply} \\ \text{ 2\lparen y - 3\rparen = x - 2} \\ \text{ 2y - 6 = x - 2} \\ \text{ add 6 to both sides of the equation} \\ \text{ 2y - 6 + 6 = x - 2 + 6} \\ \text{ 2y = x + 4} \\ \text{ Divide both sides by 2} \\ \text{ }\frac{\text{ 2y}}{\text{ 2}}\text{ = }\frac{\text{ x}}{\text{ 2}}\text{ + }\frac{\text{ 4}}{\text{ 2}} \\ \text{ } \\ \text{ y = }\frac{\text{ 1}}{\text{ 2}}x\text{ + 2} \end{gathered}[/tex]
Recall, y = mx + b
b = 2
Therefore, the y-intercept (b) is 2
