Question

1. $6x + y=3$

Explanation:

Step1: Rewrite to slope-intercept form

$y = -6x + 3$

Step2: Find y-intercept (x=0)

When $x=0$, $y = -6(0) + 3 = 3$, so point $(0, 3)$

Step3: Find x-intercept (y=0)

$0 = -6x + 3 \implies 6x = 3 \implies x = \frac{3}{6} = 0.5$, so point $(0.5, 0)$

Step4: Plot and connect points

Mark $(0, 3)$ and $(0.5, 0)$, draw a straight line through them.

Answer:

The line $y=-6x+3$ is graphed by plotting the y-intercept $(0, 3)$ and x-intercept $(0.5, 0)$, then connecting the two points with a straight line that extends across the coordinate grid.