Question

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

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 )

$\qquad \large \sf {Conclusion} :$

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