Answered

IDNLearn.com makes it easy to find accurate answers to your specific questions. Ask anything and receive thorough, reliable answers from our community of experienced professionals.

What is the equation in slope-intercept form of the line that passes through the points (−26, −11) and (39, 34)?
A) y = − 9 13 x + 7
B) y = − 9 13 x − 7
C) y = 9 13 x + 7
D) y = 9 13 x − 7

Sagot :

Lanuelidn

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

Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. IDNLearn.com is committed to providing accurate answers. Thanks for stopping by, and see you next time for more solutions.