Question

Find the equation of the line shown. Enter your answer in point slope form101051010AnswerKeyboard

Answer 1

`y=(5)/(2)x-5`

Explanations:

The equation of a line is expressed as shown below;

`y=mx+b`

where:

• m is the ,slope, of the line

,

• b is the ,y-intercept

Using two coordinate points on the line (0, -5) and (2, 0).

Determine the slope "m"

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(0-(-5))/(2-0) \\ m=(0+5)/(2) \\ m=(5)/(2) \end{gathered}`

Determine the y-intercept "b"

The y-intercept of the line is the point where the line intersects the y-axis. According to the graph, the line intersects the y-axis at y = -5. Hence the y-intercept "b" is -5

Determine the required equation

Recall that y = mx + b, hence;

`\begin{gathered} y=(5)/(2)x+(-5) \\ y=(5)/(2)x-5 \end{gathered}`

This gives the required equation of the line.