SOLUTION: Find the slope and y-intercept 3x+2y=6 can you explain how y=-3/2 (I keep getting y=3/2) where am I going wrong?

Question 178979: Find the slope and y-intercept
3x+2y=6 can you explain how y=-3/2 (I keep getting y=3/2) where am I going wrong?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

To put an equation into slope-intercept form, solve for y:

Add -3x to both sides:

Multiply by

The slope is now the coefficient on x, namely

================================

Here's another way to look at it, if perhaps you remain unconvinced:

Start with your original equation.

Select a value for x, anything will do so pick something that will make the arithmetic easy, like 1. Substitute this value into the original equation and calculate the value of y:

So now we know that when

, meaning that one of the points on the line is described by the ordered pair

.

Repeat the process with another value of x, say 2.

And we have another point on the line:

.

Given two points

and

, the slope can be calculated using:

Substituting our derived coordinates:

============================
One more idea to carry around with you in your back pocket. Any time you have a 2-variable linear equation written in standard form where the signs on the two variable terms are the same, you will have a negative slope.

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