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

What Is The YIntercept Of The Line That Passesthrough The Points 113 And 1031 class=

Sagot :

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-

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substituting the values and further solving as follows-

[tex]\begin{gathered} m=\frac{31-(-13)}{-10-1} \\ =\frac{44}{-11} \\ =-4 \end{gathered}[/tex]

Thus the equation of the line is-

[tex]y+13=-4(x-1)[/tex]

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

[tex]\begin{gathered} y+13=4 \\ y=-9 \end{gathered}[/tex]

Final Answer: Option F is correct.

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