Question

1. graph by finding the x-and y-intercepts. $2x - 3y = 6$

x-int: ( , 0 ) y-int: ( 0 , )
solve each equation. show your work!

Explanation:

Step1: Find x-intercept (set y=0)

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

Step2: Find y-intercept (set x=0)

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

Answer:

Completed table:

x	y
0	-2

x-int: $(3, 0)$
y-int: $(0, -2)$

(To graph, plot the points (3,0) and (0,-2) and draw a straight line through them.)