Respuesta :

General equation of line is:

[tex]y=mx+c[/tex]

(a)

Where c represent y intercept then the value of c is zero.

so equation is:

[tex]y=mx[/tex]

Where m represent the slope.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Pick two point from graph .

[tex]\begin{gathered} (20,10) \\ (10,5) \end{gathered}[/tex][tex]\begin{gathered} m=\frac{10-5}{20-10} \\ m=\frac{5}{10} \\ m=\frac{1}{2} \end{gathered}[/tex]

So

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

this equation represent this graph.

(c)

The equation of line is straight line so graph title is straight line.

(d)

At x=30 then the coordinates of graph is:

[tex](30,15)[/tex]

(b)

Lebel the axes is

[tex]y=x[/tex]

That mean value of y is double .