Graph the equation by plotting points.
Y = 1/4x - 5
To graph the equation y = 1/4x - 5, we can plot various points and then connect them to form a straight line.
Let's choose some values for x and calculate corresponding values for y:
When x = 0, y = 1/4(0) - 5 = -5
When x = 4, y = 1/4(4) - 5 = -4 - 5 = -9
When x = 8, y = 1/4(8) - 5 = 2 - 5 = -3
When x = -4, y = 1/4(-4) - 5 = -1 - 5 = -6
Now, let's plot these points on a graph:
(-4, -6)
(0, -5)
(4, -9)
(8, -3)
Next, we will draw a straight line through these points:
{{{ graph( 300, 300, -10, 10, -10, 10, 1/4*x - 5) }}}
The graph of y = 1/4x - 5 is a straight line that passes through the points (-4, -6), (0, -5), (4, -9), and (8, -3).