Consider the equation - 2x + 3y = 6 Part A: Write the equation in slope-intercept form.
Part B: Identify the y-intercept.
Part C: Identify the slope.

Step-by-step explanation:

Hey there!

The given equation is: - 2x + 3y = 6

Part A:

The slope intercept form equation is: y= mx+c.

So, make the equation in y= mx+c form.

- 2x + 3y = 6

Shift -2x right side;

3y = 6+2x

Divide both sides by 3.

y = (6+2x)/3

y = (2/3)x +2

Therefore, the required equation in slope intercept form is: y = (2/3)x +2.

Part B:

When the equation is in y= mx+c form "c" represents the y-intercept.

So, y-intercept is 2.

Part C:

From the equation y = (2/3)x +2,

The slope (m) = 2/3.

Hope it helps!

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