Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

How do i write these in slope-intercept form? (show work)
1) 13x - 11y = -12
2) through (1, 2) ; m = 7
3) through (3, -1) ; m = -1
4) through (-2, 5) ; m = -4
5) through (3, 5) ; m = 5/3 (< fraction)

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]
Answers have been attached below... Enjoy...

Open up the attachment in a new window to see it in full.
View image Аноним
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.