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Given the equation y=2x+1The x intercept is______The y intercept is______

Sagot :

Step 1

Given;

[tex]y=2x+1[/tex]

Required; find the x-intercept and y-intercept.

The x-intercept is found when we set y=0

[tex]\begin{gathered} y=2x+1 \\ 0=2x+1 \\ x=-\frac{1}{2} \end{gathered}[/tex]

Step 2

The y-intercept is found when we set x=0

[tex]\begin{gathered} y=2x+1 \\ y=2(0)+1 \\ y=1 \end{gathered}[/tex]

The answer in the (x,y) coordinate will be;

[tex]\begin{gathered} x-intercept:(-\frac{1}{2},0) \\ \mathrm{Y\:Intercepts}:\:\left(0,\:1\right) \end{gathered}[/tex]

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