Answer : Slope = -2 and intercept = -5
According to the graph, the point located on the graph are
(-5/2, 0) and (0, -5)
Firstly, we need to find the slope of the graph
Slope = rise / run
rise = y2 - y1
run = x2 - x1
Slope = y2 - y1 / x2 - x1
Let x1 = -5/2, y1= 0, x2 = 0, and y2 = -5
Slope = -5 - (0) / 0 - (-5/2)
Slope = -5 / 0 + 5/2
Slope = -5 / 5/2
Slope = -5 x 2 / 5
Slope = -10/5
Slope = -2
For a given point, The slope - intercept form of an equation is given as
(y - y1) = m(x - x1)
m = - 2
(y - 0) = -2(x - (-5/2)
y - 0 = -2x - 2(5/2)
y = - 2x - 5
Therefore, y intercept = -5 and slope = -2
Therefore, slope = -2 and y - intercept = -5