Answer: the y-intercept of the line is 32
Step-by-step explanation: Detrermine the slope of the line by finding the differences in y values divided by the differences in x values.
12- 17 = -5 17-22 = -5 so Rise is -5
64 - 48 = 16 48 - 32 = 16 so Run is 16
Use the slope formula to compute y-intercept y = mx + b
Substitute given values in he slope formula to compute b
[tex]22 = -\frac{5}{16} (32) + b[/tex] divide 32/16 = 2
22 = -5(2) + b 22 = -10 + b
22 + 10 = 32 32 is the y-intercept
[tex]17 = - \frac{5}{16} (48) + b[/tex] divide 48/16 = 3
17 = -5(3) + b 17 = -15 + b
17 + 15 = 32 again, 32 is the y-intercept
The graph looks like the attachment.
