Question

Slope is - 1/2 and (-3, 2) is on the line.To write the equation of each line in slope intercept from

Answer 1

`y=-(1)/(2)x+(1)/(2)`

Explanation:

The equation of the line is given as follows in slope-intercept form:

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

We can calculate the value of b with the data given in the statement, like this:

`\begin{gathered} 2=-(1)/(2)\cdot-3+b \\ b=2-(3)/(2) \\ b=(1)/(2) \end{gathered}`

The equation would be:

`y=-(1)/(2)x+(1)/(2)`