11. What is the y-intercept of a line that passes through the point (5,17)
and has a slope of 4?
1. 17
2. 11
3. -3
4. 46
5. 2

Respuesta :

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

  • y - intercept = -3

[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]

Equation of straight line in point - slope form :

[tex]\qquad❖ \: \sf \:y - y1 = m(x - x1)[/tex]

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

[tex] \qquad◈ \: \: \sf \: y - 17 = 4(x - 5)[/tex]

[tex] \qquad◈ \: \: \sf \: y - 17= 4x - 20[/tex]

[tex] \qquad◈ \: \: \sf \: y = 4x - 20 + 17[/tex]

[tex] \qquad◈ \: \: \sf \: y = 4x - 3[/tex]

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

[tex] \qquad \large \sf {Conclusion} : [/tex]

[tex] \qquad◈ \: \: \sf \: y \: \: int = - 3[/tex]

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