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

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

Respuesta :

A is the easiest way to graph the equation

we have

[tex]y=\frac{1}{2}x+3[/tex]

we know that

the slope m of the line is equal to

[tex]m=\frac{1}{2}[/tex]

Find the x-intercept

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

so

For [tex]y=0[/tex] find the value of x

[tex]0=\frac{1}{2}x+3[/tex]

[tex]x=-6[/tex]

The x-intercept is the point [tex](-6,0)[/tex]

Find the y-intercept

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

so

For [tex]x=0[/tex] find the value of y

[tex]y=\frac{1}{2}*0+3[/tex]

[tex]y=3[/tex]

The y-intercept is the point [tex](0,3)[/tex]

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