2x + 3y = 6
x y
0 2
3 0

A line is described using the equation 2x + 3y = 6. The table lists the coordinates of two points on the line, the y-intercept and the x-intercept. Find the slope of this line.
A) The slope is 2.
B) The slope is 3.
C) The slope is −3/2
D) The slope is −2/3

Respuesta :

Answer:

D)The slope is -2/3

Step-by-step explanation:

First, put this equation in slope-intercept form by subtracting 2x on both sides:

2x+3y=6

-2x. -2x

Your equation should be:3y=-2x+6

Then, divide the whole equation by 3 since y has to be by itself

3y=-2x+6

---- ------

3. 3

Your equation should be y=-2/3x+6

Since the slope in slope-intercept form is m in y=mx+b, -2/3×=m

Final answer:D) The slope is -2/3