Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
The equation in slope-intercept form of the line passing through the given points is: C. [tex]y = \frac{9}{13}x + 7[/tex]
Given the following points:
- Points on the x-axis = (-26, 39)
- Points on the y-axis = (-11, 34)
To find the equation in slope-intercept form of the line passing through the given points:
Mathematically, the equation of slope is calculated by using this:
[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 given points, we have:
[tex]Slope. \;m = \frac{34 - [-11]}{39 - (-26)}\\\\Slope. \;m = \frac{34\; + \;11}{39 \;+ \; 26}\\\\Slope. \;m = \frac{45}{65}\\\\Slope. \;m = \frac{9}{13}[/tex]
The standard form of an equation of line is given by the formula;
[tex]y = mx + b[/tex]
Where:
- x and y are the points.
- m is the slope.
- b is the intercept.
We would find the intercept:
[tex]-11 = \frac{9}{13}(-26) + b\\\\ -11 = -18 + b\\\\b = -11 + 18[/tex]
Intercept, b = 7
The equation in slope-intercept form of the line is:
[tex]y = \frac{9}{13}x + 7[/tex]
Read more: https://brainly.com/question/18123312
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.