Use technology to decide which graph is the flattest
(a) y = 5x
(b) y = -8x
(c) y = 0.9x
(d) y = 0.15x
To determine which graph is the flattest, we can analyze the slope of each line. The slope of a line represents its steepness. In this case, the smaller the slope, the flatter the line.
We can use the equation of each line to calculate the slope. The slope-intercept form of a line is y = mx + b, where m is the slope.
(a) The equation y = 5x implies a slope of 5.
(b) The equation y = -8x implies a slope of -8.
(c) The equation y = 0.9x implies a slope of 0.9.
(d) The equation y = 0.15x implies a slope of 0.15.
Comparing the slopes, we can conclude that the line with the smallest slope, and therefore the flattest, is option (d) y = 0.15x.