Problem

The equation of a line is given below. \[ 3 x-2 y=-2 \] Find the slope and the $y$-intercept. Then use them to graph the line.

Solution

Step 1 :The given equation is \(3x - 2y = -2\).

Step 2 :We need to rearrange this equation into the form \(y = mx + c\), where \(m\) is the slope and \(c\) is the y-intercept.

Step 3 :Rearranging the equation, we get \(y = \frac{3}{2}x + 1\).

Step 4 :From this, we can see that the slope \(m\) is \(\frac{3}{2}\) and the y-intercept \(c\) is 1.

Step 5 :Final Answer: The slope of the line is \(\boxed{\frac{3}{2}}\) and the y-intercept is \(\boxed{1}\).

From Solvely APP
Source: https://solvelyapp.com/problems/42009/

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