Question

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

Answer 1

`\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`