186k views
0 votes
What is the equation of the line that passes through the points (1, -6) and (-7, 2)? Find the slope (m) and the y-intercept (b).

1 Answer

7 votes

Final answer:

The equation of the line passing through the points (1, -6) and (-7, 2) is y = -x - 5, with a slope (m) of -1 and a y-intercept (b) of -5.

Step-by-step explanation:

To find the equation of the line that passes through the points (1, -6) and (-7, 2), we need to calculate the slope (m) and the y-intercept (b). The slope is the change in y divided by the change in x (rise over run). So, using the points given:

Slope (m) = ∆y / ∆x = (2 - (-6)) / (-7 - 1) = 8 / -8 = -1.

With the slope known, we use one of the points to find the y-intercept (b) by plugging into the slope-intercept form (y = mx + b):

-6 = (-1)(1) + b → b = -6 + 1 = -5.

Therefore, the equation of the line is y = -x - 5.

User NicolasB
by
7.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories