Mathisdumbwork
Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Find the value if r so that the line passes through each pair of points has the given slope. (PLEASE HELP!)

6A. (-2,6),(r,-4); m=-5

6B. (r,-6),(5,-8); m=-8

Sagot :

[tex]The\ slope-point\ form:y-y_1=m(x-x_1)\\-----------------------------\\6A:\\m=-5;\\(-2;\ 6)\to x_1=-2;\ y_1=6\\\\y-6=-5[x-(-2)]\\y-6=-5(x+2)\\y-6=-5x-5(2)\\y-6=-5x-10\ \ \ |add\ 6\ to\ both\ sides\\\boxed{y=-5x-4}\\\\put\ the\ coordinates\ of\ the\ point\ (r;-4)\to x=r\ and\ y=-4:\\-4=-5r-4\ \ \ |add\ 4\ to\ both\ sides\\0=-5r\\-5r=0\ \ \ \ |divide\ both\ sides\ by\ (-5)\\\boxed{r=0}\leftarrow answer[/tex]



[tex]6B.\\ The\ same\ method:\\y-(-8)=-8(x-5)\\y+8=-8(x)-8(-5)\\y+8=-8x+40\ \ \ \ |subtract\ 8 from\ both\ sides\\\boxed{y=-8x+32}\\\\(r;-6)\to x=r;\ y=-6\\\\-6=-8(r)+32\\-6=-8r+32\ \ \ \ |subrtact\ 32\ from\ both\ sides\\-38=-8r\\8r=38\ \ \ \ \ |divide\ both\ sides\ by\ 8\\\boxed{r=4.75}[/tex]
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.