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Answer :

We know that

• The slope is 1/2.

,

• The x-intercept is a (4,0).

To find the equation of this straight line, we have to use the point-slope formula

[tex]y-y_1=m(x-x_1)[/tex]

Now, we replace all given values

[tex]\begin{gathered} y-0=\frac{1}{2}(x-4) \\ y=\frac{1}{2}x-2 \end{gathered}[/tex]

Therefore, the slope-intercept form is

[tex]y=\frac{1}{2}x-2[/tex]