Question

Which graph represents the equation y = 1/2x + 3?

Answer 1

Option A is correct.

Explanation:

Given the equation:
`y = (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= (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 = (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.