Question

Question 7 of 10 What is the equation of the following line? Be sure to scroll down first to see all answer options. (0, 0) (10. -2)

Answer 1

The equation of the line with the given points is:

`y=-(1)/(5)x`

Step-by-step explanation:

Given the coordinates (0, 0) and (10, -2)

The equation of a line is in the form:

y = mx + b

Where m is the slope and b is the y-intercept.

The slope from the given coordinates is:

`\begin{gathered} m=(-2-0)/(10-0) \\ \\ =-(2)/(10)=-(1)/(5) \end{gathered}`

The equation is now in the form:

`y=-(1)/(5)x+b`

Using the point (10, -2) to find b, replace x by 10 and y by -2 in the last equation

`\begin{gathered} -2=-(1)/(5)(10)+b \\ \\ -2=-2_{_{_{_{_{_{_{_{}}}}}}}}+b \\ b=0 \end{gathered}`

Therefore, the equation of the line is:

`y=-(1)/(5)x`