Question

Write an equation of the line in slope-intercept form (3,1) (0,-2)

Answer 1

Given:

The points (3, 1) and (0, -2).

To find: The slope-intercept form of the line

Step-by-step explanation:

Using the two-point formula,

`(y-y_1)/(y_2-y_1)=(x-x_1)/(x_2-x_1)`

Here, we have

`\begin{gathered} x_1=3,y_1=1 \\ x_2=0,y_2=-2 \end{gathered}`

Substituting and solving we get,

`\begin{gathered} (y-1)/(-2-1)=(x-3)/(0-3) \\ (y-1)/(-3)=(x-3)/(-3) \\ y-1=x-3 \\ y=x-3+1 \\ y=x-2 \end{gathered}`

Final answer:

The slope-intercept form of the line is,

`y=x-2`