Question

1. graph the following lines using the x- and y-intercepts. a) 2x + y = 6

Explanation:

Step1: Find x-intercept (y=0)

Set \( y = 0 \) in \( 2x + y = 6 \).
\( 2x + 0 = 6 \)
\( 2x = 6 \)
\( x = 3 \).
So x-intercept is \( (3, 0) \).

Step2: Find y-intercept (x=0)

Set \( x = 0 \) in \( 2x + y = 6 \).
\( 2(0) + y = 6 \)
\( y = 6 \).
So y-intercept is \( (0, 6) \).

Step3: Graph the line

Plot points \( (3, 0) \) and \( (0, 6) \), then draw a straight line through them.

Answer:

To graph \( 2x + y = 6 \), plot the x-intercept \( (3, 0) \) and y-intercept \( (0, 6) \), then draw a line through these points.