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