Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
slope=-9/12 = -3/4
y=mx+b y=-3/4x+b
3=-3/4(-6)+b
b=3+9/2=7.5
Equation is y=-0.75x+7.5
y=mx+b y=-3/4x+b
3=-3/4(-6)+b
b=3+9/2=7.5
Equation is y=-0.75x+7.5
Answer:
[tex]y = -\frac{3}{4}x-\frac{3}{2}[/tex]
Step-by-step explanation:
First, calculate the slope of the line:
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{(-6) - 3}{6 - (-6)}\\m = \frac{-9}{12}\\m = \frac{-3}{4}[/tex]
Next, calculate the y-intercept:
Choose any point on the line.
[tex](-6,3)[/tex]
Solve for [tex]b[/tex].
[tex]y = mx + b\\b = y - (mx)\\b = 3 - (\frac{-3}{4} * -6)\\b = 3 - \frac{9}{2}\\b = \frac{-3}{2}[/tex]
Finally, create the equation:
[tex]y = -\frac{3}{4}x-\frac{3}{2}[/tex]
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.