Respuesta :

The equation of the function is assumed to be a straight line is of the form,

[tex]y= mx+c[/tex],  where  [tex]m,c[/tex]

are the gradient and the y intercept respectively.

The gradient is computed using the formula for the gradient, i.e

[tex]m=\frac{y_2-y_1}{x_2-x_1} =  \frac{-5-5}{2-0} = -5[/tex].

The equation of the line is,

[tex]y= -5x+c\\=>5=-5(0)+c\\=> c= 5[/tex]


The equation of the function is ,

[tex]y = -5x+5.[/tex].

The value of the x-coordinate when the y coordinate is 0 is found as shown below.

[tex]0=-5x+5\\=>x=1\\[/tex].

so the x-coordinate is 1.