Answer:
[tex]y-intercept=\frac{595}{11}\approx 54.09[/tex]
Step-by-step explanation:
[tex]Let\ equation\ of\ line\ is\ y=mx+c\\\\when\ x=-79,\ y=-68\\\\Substitute\ these\ values\ in\ the\ equation\ of\ line\\\\-68=-79m+c\ ...........................................eq(1)\\\\again\ when\ x=-68,\ y=-51\\\\Substitute\ these\ values\ in\ the\ equation\ of\ line\\\\-51=-68m+c\ ...........................................eq(2)\\\\y-intercept\ is\ the\ value\ of\ y\ when\ x=0\\\\y=m\times 0+c\\\\y=c\\\\y-intecept=c\\\\eq(2)\times 79-eq(1)\times 68[/tex]
[tex]-51\times 79-(-68\times 68)=-68\times 79m+68\times 79m+79c-68c\\\\-4029+4624=11c\\\\11c=595\\\\c=\frac{595}{11}\\\\[/tex]
[tex]y-intercept=c\\\\y-intercept=\frac{595}{11}\approx 54.09[/tex]
