Question

1. $6x + 2y = 18$

x-intercept:
y-intercept:

Explanation:

Step1: Find x-intercept, set $y=0$

Substitute $y=0$ into $6x + 2y = 18$:
$6x + 2(0) = 18$
$6x = 18$
$x = \frac{18}{6} = 3$

Step2: Find y-intercept, set $x=0$

Substitute $x=0$ into $6x + 2y = 18$:
$6(0) + 2y = 18$
$2y = 18$
$y = \frac{18}{2} = 9$

Answer:

x-intercept: $(3, 0)$
y-intercept: $(0, 9)$

(To graph the line, plot the two intercept points $(3,0)$ and $(0,9)$, then draw a straight line connecting them across the grid.)