write the equation of the line in fully simplified slope - intercept form. answer attempt 1 out of 2 answer:

Explanation:

Step1: Identify two points on the line

Let's take two points ((x_1,y_1)=(0, 2)) and ((x_2,y_2)=(2,4)) from the graph.

Step2: Calculate the slope (m)

The slope - formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Substituting the values, we get (m=\frac{4 - 2}{2-0}=\frac{2}{2}=1).

Step3: Identify the y - intercept (b)

The y - intercept is the y - value when (x = 0). From the point ((0,2)), (b = 2).

Step4: Write the equation in slope - intercept form

The slope - intercept form of a line is (y=mx + b). Substituting (m = 1) and (b = 2), we get (y=x + 2).

Answer:

(y=x + 2)