Answer:
The y-intercept is 5.12 or (0, 5.12)
Step-by-step explanation:
Use the two given points to find the slope
(-15, -8) (9, 13)
[tex]m=\frac{y2-y2}{x2-x1}[/tex]
[tex]m=\frac{13-(-8)}{9-(-15)}=\frac{21}{24}[/tex]
The use the slope and one of the given points to solve the slope-point formula
[tex]y-y=m(x-x)[/tex]
[tex]y-13=\frac{21}{24} (x-9)[/tex]
[tex]y-13=\frac{21}{24} x-\frac{189}{24}[/tex]
[tex]y=\frac{21}{24} +\frac{123}{24}[/tex]
The y-intercept is [tex]\frac{123}{24}[/tex] which is equivalent to 5.125
