Question

Find the equation of this line.1y = x + [?]

Answer 1

The equation of the line can be found using the two-point formula:

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

From the graph, the intercept points are:

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

Applying the formula,

`\begin{gathered} (0-(-3))/(3-0)=(y-(-3))/(x-0) \\ (3)/(3)=(y+3)/(x) \\ 1=(y+3)/(x) \\ \text{cross multiply,} \\ y+3=x \\ \text{collect like terms} \\ y=x-3 \end{gathered}`

Therefore, the equation of the line is y = x + [- 3] or y = x - 3