Yes I understand the question one, three zero, - 2 use the graph to derive the equation of the line in the slope intercept form

Answer 1

To find the equation of the line in slope-intercept form, we first need to determine the slope of the line and the y-intercept.

From the graph provided, we can see that the line passes through the points (1,3) and (0,-2).

The slope (m) of the line can be calculated using the formula:

m = (y2 - y1) / (x2 - x1)

m = (3 - (-2)) / (1 - 0) = 5/1 = 5

Next, we can plug one of the points into the slope-intercept form equation y = mx + b to find the y-intercept (b). Let's use the point (1,3):

3 = 5(1) + b
3 = 5 + b
b = -2

Therefore, the equation of the line in slope-intercept form is:

y = 5x - 2