use the graph to derive the equation of the line in slope-intercept form

Question

the coordinates are (1,3) and (0,-2)

Answer 1

First, let's find the slope of the line using the two points:

Slope (m) = (y2 - y1) / (x2 - x1)
m = (-2 - 3) / (0 - 1)
m = -5 / -1
m = 5

Now that we have the slope (m), we can use one of the points to find the y-intercept (b).

Using 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.