Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
The values of k and b of this graph that passes through the given points is [tex]k = \frac{20}{9}[/tex] and [tex]b = \frac{-50}{9}[/tex]
Given the following points:
- Points on the x-axis = (2, -7)
- Points on the y-axis = (10, -10)
- [tex]y = kx + b[/tex] .....equation 1.
To find the values of k and b since the graph passes through the given points:
First of all, we would determine the slope of the graph passing through the given points.
[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substituting the points into the formula, we have;
[tex]Slope. \;m = \frac{-10 - 10}{-7 - 2}\\\\Slope. \;m = \frac{-20}{-9}\\\\Slope. \;m = \frac{20}{9}[/tex]
The standard form of an equation of line is given by the formula;
[tex]y = mx + b[/tex] ....equation 2
Where:
- x and y are the points.
- m is the slope.
- b is the intercept.
Next, we would determine the intercept of the graph:
[tex]10 = \frac{20}{9}(2) + b\\\\10 = \frac{40}{9} + b\\\\b = \frac{40}{9} - 10\\\\b = \frac{40\; - \;90}{9}\\\\b = \frac{-50}{9}[/tex]
The standard form of this equation of line is:
[tex]y = \frac{20}{9}x - \frac{50}{9}[/tex] .....equation 3.
Comparing eqn 1 and eqn 3, we can deduce:
[tex]k = \frac{20}{9}[/tex] and [tex]b = \frac{-50}{9}[/tex]
Therefore, the values of k and b of this graph that passes through the given points is [tex]k = \frac{20}{9}[/tex] and [tex]b = \frac{-50}{9}[/tex]
Read more: https://brainly.com/question/18123312
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.