Question

How do I find the slope and Y-intercept of the line x+2y=-2

Answer 1

Answer:

slope = -1/2

y-intercept = (0, -1)

Step-by-step explanation:

Given:

`x\text{ + 2y = - 2}`

To find:

the slope and the y-intercept

To determine the slope we will use the linear function formula:

`\begin{gathered} y\text{ = mx + b} \\ m\text{ = slope} \\ b\text{ = y-intercept} \end{gathered}`

We need to rewrite the given equation in the form above so as to get the slope

`\begin{gathered} x\text{ + 2y = -2} \\ 2y\text{ = -x - 2} \\ y\text{ = -}(x)/(2)\text{ - }(2)/(2) \\ y\text{ = }(-x)/(2)-1 \end{gathered}`

From the above, m = -1/2

Hence, the slope is -1/2

The y-intercept is the value of y when x = 0

To get the y-intercept, we will substitute x with 0:

`\begin{gathered} y\text{ = }(-0)/(2)\text{ - 1} \\ y\text{ = 0 - 1} \\ y\text{ = -1} \\ \\ The\text{ y-intercept in ordered pair \lparen x, y\rparen:} \\ when\text{ x = 0, y = -1} \\ y-\text{ intercept = \lparen0, -1\rparen} \end{gathered}`