Answer:
[tex]y - 5 = \frac{5}{4} (x - 1)[/tex].
Step-by-step explanation:
The relation between variable x and y is linear as the increase of y with respect to x is uniform.
That means the slope of the graph obtained from plotting the points on the coordinate plane is constant and it can be obtained by taking any two pairs of points.
Now, the equation of this straight line graph can be obtained from any two pairs of the given points.
Let us assume the points are (1,5) and (5,10)
Therefore, the required equation of the straight line is
[tex]\frac{y - 10}{10 - 5} = \frac{x - 5}{5 - 1}[/tex]
⇒ [tex]y - 10 = \frac{5}{4} (x - 5)[/tex]
⇒ [tex]y - 10 = \frac{5}{4}x - \frac{25}{4}[/tex]
⇒ [tex]y - 5 = \frac{5}{4} x + 5 - \frac{25}{4}[/tex]
⇒ [tex]y - 5 = \frac{5}{4} (x - 1)[/tex]. (Answer)
