2x + 3y = 6 xy
02
30

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

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 D) The slope is -2/3

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option

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