Question

Write the equation of the blue line

Answer 1

The equation of blue line is y= 1/2x+2.

What is equation of line?

The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term. It is an equation of degree one, with variables x and y.

As from the graph we can see that the y - intercept is 2.

Also the function crosses y - axis at 2.

So, slope of the function is 1/2.

Now using

slope= rise/ run

1/2= y/x

y= 1/2x

Now, slope intercept form: y = mx + b

y= 1/2x+2

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Answer 2

Answer: y = $\frac{1}{2}$ x + 2

Step-by-step explanation:

We see the y - intercept is 2, since the function crosses over the y - axis at 2. Notice that the slope of the function is 1/2.

Remember:  $\frac{rise}{run}$ = slope.

Now, write what we found in slope intercept form: y = mx + b

y = $\frac{1}{2}$ x + 2

That's it.