Questions: Find the slope and the y-intercept of the line. 4x + 2y = -2 Write your answers in simplest form.

Transcript text: Find the slope and the $y$-intercept of the line. \[ 4 x+2 y=-2 \] Write your answers in simplest form.

Solution

Solution Steps

Step 1: Finding the Slope

To find the slope of the line given by the equation $4x + 2y = -2$, we rearrange it into the slope-intercept form $y = mx + b$. The slope $m$ can be calculated as $-\frac{4}{2}$, which gives $m = -2$.

Step 2: Finding the $y$-intercept

To find the $y$-intercept of the line, we substitute $x = 0$ into the original equation and solve for $y$. This gives $y = \frac{-2}{2}$, which simplifies to $y = -1$.

Final Answer:

The slope of the line is -2, and the $y$-intercept is -1.

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