5. Slope intercept form is written as y = mx +b, where m is the slope and b is the y-intercept.
Using two of the points on the graph find the slope:
(0,-3) and (6,1)
Slope = change in Y over the change in X:
Slope = (1-(-3) / (6-0) = 4/6 = 2/3
The y-intercept is the Y value when x = 0, which is -3.
The formula is y = 2/3x - 3
6. Point slope form is written as y - y1 = m(x- x1) where m is the slope, y1 and x1 are a known point on the line.
Slope = (1-0) / (1-3) = 1/-3 = -1/3
You can use either point shown for x1 and y1, so I am using the point (1,1)
The equation becomes y -1 = -1/3(x-1)