Answer:
Option A is correct.
Step-by-step explanation:
Given the equation: \(y = \frac{1}{2}x +3\) ......[1]
Fin the intercept of the equation:
x -intercept states that the line crosses the x-axis
Substitute y= 0 in [1] and solve for x
\(0= \frac{1}{2}x +3\)
Multiply both sides by 2 we get;
\(0 = x+ 6\)
Subtract 6 from both sides we get;
\(x = -6\)
x-intercept: (-6, 0)
y-intercept states that the line crosses the y-axis.
Substitute the value of x = 0 and solve for y:
\(y = \frac{1}{2}(0)+3\)
Simplify:
y = 3
y-intercept = (0, 3)
Using these points (-6, 0) and (0, 3) plot the graph of the line as shown below.
