How do you find the slope and y-intercept for the line #2x-3y=6#?

Answer 1

The slope is the number attached to x and the y-intercept is your 'b' term in the equation y=mx+b. So, the slope would equal #2/3# and the y-intercept would be #-2#.

In this case, the equation is in standard form, mx-y=b. To get the equation into slope-intercept form, you would need to do the following:

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Answer 2

Savannah Anderson

To find the slope and y-intercept for the line 2x - 3y = 6, first, rearrange the equation into slope-intercept form, which is y = mx + b. Then, identify the coefficient of x as the slope (m) and the constant term as the y-intercept (b).

Starting with 2x - 3y = 6:

Subtract 2x from both sides to isolate the term with y: -3y = -2x + 6
Divide both sides by -3 to solve for y: y = (2/3)x - 2

So, the slope (m) is 2/3, and the y-intercept (b) is -2.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.