Question

Pls help me it would mean a lot <3

Answer 1

I believe it would be y=2.5x

Have an amazing day :3

Answer 2

The equation of the line will be:

• 
  `y\:=\:(2)/(5)x`

Explanation:

We know the slope-intercept of a line equation is

`y = mx+b`

where m is the slope and b is the y-intercept

Given two points on a line graph

• (0, 0)

• (25, 10)

Finding the slope between two points

`\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)`

`\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(25,\:10\right)`

`m=(10-0)/(25-0)`

`m=(2)/(5)`

We know that the y-intercept on a line graph can be observed by setting x=0 and checking the corresponding value of y.

From the graph, it is clear

at x = 0, y = 0

Thus, the y-intercept = b = 0

Now, substituting b = 0, and m = 2/5 in the slope-intercept form

`y = mx+b`

`y\:=\:(2)/(5)x+0`

`y\:=\:(2)/(5)x`

Therefore, the equation of the line will be:

• 
  `y\:=\:(2)/(5)x`