The graphs of two lines are shown.
Graph 1 titled 'Line A' has the intersecting points at (0, 7) and (2, 1). Graph 2 titled 'Line B' has the intersecting points at (0, 0) and (3, 7).
Drag the correct equation for each line to the appropriate box.
For Line A:
The equation can be found using the slope-intercept form, which is given by y = mx + b, where m is the slope and b is the y-intercept.
To find the slope (m):
m = (change in y)/(change in x)
m = (1-7)/(2-0)
m = -6/2 = -3
Since the y-intercept is (0, 7), we have the equation:
y = -3x + 7
For Line B:
Again, we can use the slope-intercept form.
To find the slope (m):
m = (change in y)/(change in x)
m = (7-0)/(3-0)
m = 7/3
Since the y-intercept is (0, 0), we have the equation:
y = (7/3)x + 0
Therefore, the equations for Line A and Line B are:
Line A: y = -3x + 7
Line B: y = (7/3)x + 0