F (x) = - 2x + 3 as a graph

For a linear graph (i. e. the curve is a straight line)

y=mx+B

m = - 2 is the slope

B = 3 is the y intercept.

Put y=0 and solve for x, gives the x-intercept as 1.5

So the given graph is a straight line decreasing (as x increases) with a slope of - 2, x-intercept (1.5,0) and y-intercept (0,3).