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Ilya [14]
2 years ago
14

11. What is the y-intercept of a line that passes through the point (5,17)

Mathematics
1 answer:
Viefleur [7K]2 years ago
8 0

\qquad \qquad  \bf \huge\star \:  \:  \large{  \underline{Answer} }  \huge \:  \: \star

  • y - intercept = -3

\textsf{  \underline{\underline{Steps to solve the problem} }:}

Equation of straight line in point - slope form :

\qquad❖ \:  \sf \:y - y1 = m(x - x1)

( m = slope = 4, point (5 , 17) )

\qquad◈  \:  \:  \sf \: y - 17 = 4(x - 5)

\qquad◈  \:  \:  \sf \: y  - 17= 4x - 20

\qquad◈  \:  \:  \sf \: y = 4x - 20 + 17

\qquad◈  \:  \:  \sf \: y = 4x - 3

Now, it's the form of line in slope - intercept form, ( slope = coefficient of x = 4 and y - intercept = -3 )

\qquad \large \sf {Conclusion}  :

\qquad◈  \:  \:  \sf \: y \:  \: int =  - 3

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