Question

1. Which procedure could be used to graph the line represented by the following equation? Y=1/2x+3

Answer 1

A is the easiest way to graph the equation

Answer 2

we have

$y=\frac{1}{2}x+3$

we know that

the slope m of the line is equal to

$m=\frac{1}{2}$

Find the x-intercept

The x-intercept is the value of x when the value of y is equal to zero

so

For $y=0$ find the value of x

$0=\frac{1}{2}x+3$

$x=-6$

The x-intercept is the point $(-6,0)$

Find the y-intercept

The y-intercept is the value of y when the value of x is equal to zero

so

For $x=0$ find the value of y

$y=\frac{1}{2}*0+3$

$y=3$

The y-intercept is the point $(0,3)$

therefore

the answer is the option

B. Plot the Y-intercept (0,3) and use the slope of 1/2 to find a second point