Question

Write equation of the line below​

Answer 1

Hi there!

We are given two ordered pairs which are:

• (0,0)
• (5,4)

If you are curious how do I get these ordered pairs, they come from those two big circles or dots. x and y make relation and can be written as (x,y).

1. Find the slope

• Yes, our first step is to find the slope of a graph if you want to find an equation. You may be curious how to find that right? No worries! We have got a special formula for you to find the slope!

`\large \boxed{m = (y_2 - y_1)/(x_2 - x_1) }`

Since we have two given points, we can substitute them in the formula.

`\large{m = (4 - 0)/(5 - 0) } \\ \large \boxed{m = (4)/(5) }`

2. Form an equation.

• Since we have finally found, got or evaluated the slope. Next step is to find the y-intercept. Oh! Before we get to form an equation, do you know the slope-intercept form? We will be using that linear equation form since it is commonly used in the topic.

`\large \boxed{y = mx + b}`

Where m = slope and b = y-intercept. We substitute m = 4/5.

`\large{y = (4)/(5) x + b}`

Next thing to remember is that when the graph intersects an origin point, b-term or y-intercept would be 0. Therefore b = 0 since the graph intersects (0,0).

`\large \boxed{y = (4)/(5) x}`

3. Answer

• Therefore the equation of the line is y = 4x/5.