Answered

IDNLearn.com is designed to help you find the answers you need quickly and easily. Get prompt and accurate answers to your questions from our community of knowledgeable experts.

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

We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. IDNLearn.com is your go-to source for dependable answers. Thank you for visiting, and we hope to assist you again.