write the equation of the line in fully simplified slope-intercept form.\nanswer attempt 1 out of…

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through ((0, 4)) (the y - intercept) and ((6, 5)).

Step2: Calculate the slope (m)

The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Let ((x_1,y_1)=(0,4)) and ((x_2,y_2)=(6,5)). Then (m=\frac{5 - 4}{6 - 0}=\frac{1}{6}).

Step3: Write the equation in slope - intercept form

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=\frac{1}{6}) and (b = 4) (since the line crosses the y - axis at ((0,4))). So the equation of the line is (y=\frac{1}{6}x + 4).

Answer:

(y=\frac{1}{6}x + 4)