n the xy-plane, the graph of the equation
y=mx+b, where m and b are constants, is a line with slope m and y-intercept (0,b). Therefore, the graph of
y=2x−5 in the xy-plane is a line with slope 2 and a y-intercept
(0,−5). Having a slope of 2 means that for each increase in x by 1, the value of y increases by 2. Only the graph in choice D has a slope of 2 and crosses the y-axis at
(0,−5). Therefore, the graph shown in choice D must be the correct answer. Choices A, B, and C are incorrect. The graph of
y=2x−5 in the xy-plane is a line with slope 2 and a y-intercept at
(0,−5). The graph in choice A crosses the y-axis at the point
(0,2.5), not
(0,−5), and it has a slope of
, not 2. The graph in choice B crosses the y-axis at (0, −5); however, the slope of this line is −2, not 2. The graph in choice C has a slope of 2; however, the graph crosses the y-axis at
(0,5), not
(0,−5).