Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
[tex]The\ slope-intercept\ form:y=mx+b\\\\1)\ 13x-11y=-12\ \ \ \ |subtract\ 13x\ from\ both\ sides\\\\-11y=-13x-12\ \ \ \ \ \ |divide\ both\ sides\ by\ (-11)\\\\\boxed{y=\frac{13}{11}x+\frac{12}{11}}[/tex]
[tex]2)\ m=7\to y=7x+b\\\\the\ point:(1;\ 2)\to substitute\ x=1\ and\ y=2\ to\ equation:\\\\7(1)+b=2\\7+b=2\ \ \ \ \ |subtract\ 7\ from\ both\ sides\\b=-5\\\boxed{y=7x-5}[/tex]
[tex]3)\ m=-1\to y=-x+b\\\\(3;-1)\\\downarrow\\-3+b=-1\ \ \ \ |add\ 3\ to\ both\ sides\\b=2\\\\\boxed{y=-x+2}[/tex]
[tex]4)\ m=-4\to y=-4x+b\\\\(-2;\ 5)\\\downarrow\\-4(-2)+b=5\\8+b=5\ \ \ \ \ |subtract\ 8\ from\ both\ sides\\b=-3\\\\\boxed{y=-4x-3}[/tex]
[tex]5)\ m=\frac{5}{3}\to y=\frac{5}{3}x+b\\\\(3;\ 5)\\\downarrow\\\frac{5}{3}(3)+b=5\\5+b=5\ \ \ \ |subtract\ 5\ from\ both\ sides\\b=0\\\\\boxed{y=\frac{5}{3}x}[/tex]
[tex]2)\ m=7\to y=7x+b\\\\the\ point:(1;\ 2)\to substitute\ x=1\ and\ y=2\ to\ equation:\\\\7(1)+b=2\\7+b=2\ \ \ \ \ |subtract\ 7\ from\ both\ sides\\b=-5\\\boxed{y=7x-5}[/tex]
[tex]3)\ m=-1\to y=-x+b\\\\(3;-1)\\\downarrow\\-3+b=-1\ \ \ \ |add\ 3\ to\ both\ sides\\b=2\\\\\boxed{y=-x+2}[/tex]
[tex]4)\ m=-4\to y=-4x+b\\\\(-2;\ 5)\\\downarrow\\-4(-2)+b=5\\8+b=5\ \ \ \ \ |subtract\ 8\ from\ both\ sides\\b=-3\\\\\boxed{y=-4x-3}[/tex]
[tex]5)\ m=\frac{5}{3}\to y=\frac{5}{3}x+b\\\\(3;\ 5)\\\downarrow\\\frac{5}{3}(3)+b=5\\5+b=5\ \ \ \ |subtract\ 5\ from\ both\ sides\\b=0\\\\\boxed{y=\frac{5}{3}x}[/tex]
Answers have been attached below... Enjoy...
Open up the attachment in a new window to see it in full.
Open up the attachment in a new window to see it in full.

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.