Question

What is the y-Intercept of the line that passesthrough the points (1,-13) and (~10,31)?

Answer 1

Given: A line passing through points (1,-13) and (-10,31).

Required: To determine the y-intercept of the line.

Explanation: The slope of the line is given by the formula-

`m=(y_2-y_1)/(x_2-x_1)`

Substituting the values and further solving as follows-

`\begin{gathered} m=(31-(-13))/(-10-1) \\ =(44)/(-11) \\ =-4 \end{gathered}`

Thus the equation of the line is-

`y+13=-4(x-1)`

To get the y-intercept, substitute x=0 as follows-

`\begin{gathered} y+13=4 \\ y=-9 \end{gathered}`

Final Answer: Option F is correct.