How do you find the equation of a linear model when given the graph but not the equation

We want to see how to find a linear equation by only looking at the line graph.

First, a general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope of that line is given by:

Then the line is something like:

To get the value of b, we use the fact that if the function passes through  (x₁, y₁), it means that when x = x₁ we also must have y = y₁, replacing that in the equation we get:

Then the linear equation is:

So what we need to do is just look at the graph and find two points, then you can use the above guide to find the linear equation.

If you want to learn more, you can read:

link

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step-by-step explanation:

use that smart brain