Question

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

Answer 1

given the graph, you can find information that would give you the slope intercept form of the linear model, which is:
y= mx+b
first off, you can find the y intercept, which is the number at which the line crosses the y axis. that is the b value.
the m value is the slope. slope is rise/run, which simply means the # of units it goes up/down, divided by the # of units it goes right/left.
so, after knowing your m and b values, you can plug it in the formula given above, and that's how you will end up w the equation of a line. I hope this helped!! x

Answer 2

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:

$a = \frac{y_2 - y_1}{x_2 - x_1}$

Then the line is something like:

$y = (\frac{y_2 - y_1}{x_2 - x_1})*x + b$

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:

$y_1 = (\frac{y_2 - y_1}{x_2 - x_1})*x_1 + b\\\\y_1 - (\frac{y_2 - y_1}{x_2 - x_1})*x_1 = b$

Then the linear equation is:

$y = (\frac{y_2 - y_1}{x_2 - x_1})*x + y_1 - (\frac{y_2 - y_1}{x_2 - x_1})*x_1$

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:

https://brainly.com/question/3868311