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Sagot :
[tex] \huge\mathfrak{ \underline{Answer : }}[/tex]
The equation of line is
[tex] \hookrightarrow \: y= 4x + 7 [/tex]
let's plug the value of " x as 0 " to find the coordinate of y at the " x - intercept "
- [tex]y = 4x + 7[/tex]
- [tex]y = (4 \times0 ) + 7[/tex]
- [tex]y = 7[/tex]
therefore, the coordinates of x- intercept are :
[tex] \large \boxed{(0,7)}[/tex]
now, let's plug the value of " y as 0 " to find the coordinate of x at the " y - intercept "
- [tex]y = 4x + 7[/tex]
- [tex]4x + 7 = 0[/tex]
- [tex]4x = - 7[/tex]
- [tex]x = \dfrac{ - 7}{4} [/tex]
therefore, the coordinates of y - intercept are :
[tex] \boxed{ \bigg( \frac{ - 7}{4} ,0 \bigg)}[/tex]
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