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

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through ((0, 7)) (the y - intercept) and ((4, 3)).

Step2: Calculate the slope (m)

The formula for slope is (m=\frac{y_2 - y_1}{x_2 - x_1}). Let ((x_1,y_1)=(0,7)) and ((x_2,y_2)=(4,3)). Then (m=\frac{3 - 7}{4 - 0}=\frac{- 4}{4}=-1).

Step3: Use slope - intercept form ((y = mx + b))

The slope - intercept form of a line is (y=mx + b), where (m) is the slope and (b) is the y - intercept. We know that (m=-1) and from the point ((0,7)), the y - intercept (b = 7). Substituting these values into the formula, we get (y=-x + 7).

Answer:

(y=-x + 7)