Answered

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Determine the intercepts of the line
y= 4x + 7

x-intercept: (____,___)
y-intercept: (____,___)

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]

___________________________________

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

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