Chapter 4: Q. 699 (page 576)

Find the equation of each line. Write the equation in slope–intercept form.
containing $(10, 1)$ and $(6, - 1)$ .

Short Answer

Expert verified

The equation of the line is $y = \frac{1}{2} x - 4$ .

Step by step solution

Step 1. Given Information

We are given the points $(10, 1)$ and $(6, - 1)$ and we need to find the slope-intercept form of the line containing the points.

Step 2. Finding the slope

The slope of the line is given by $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Here, $(x_{1}, y_{1}) = (10, 1) (x_{2}, y_{2}) = (6, - 1)$

Required slope :-

$= \frac{- 1 - 1}{6 - 10} = \frac{- 2}{- 4} = \frac{1}{2}$

Step 3. Finding the slope-intercept form of the line

Using the point $(10, 1)$ and slope $\frac{1}{2}$ we find the slope-intercept form of the line:

$y - y_{1} = m (x - x_{1}) y - 1 = \frac{1}{2} (x - 10) y - 1 = \frac{1}{2} x - 5 y = \frac{1}{2} x - 5 + 1 y = \frac{1}{2} x - 4$

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Find the equation of each line. Write the equation in slope–intercept form.
containing $(10, 1)$ and $(6, - 1)$ .

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the slope

Step 3. Finding the slope-intercept form of the line

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Find the equation of each line. Write the equation in slope–intercept form.containing(10,1)and(6,-1).

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the slope

Step 3. Finding the slope-intercept form of the line

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Statistics

Probability and Statistics

Applied Mathematics

Calculus

Pure Maths

Study anywhere. Anytime. Across all devices.

Find the equation of each line. Write the equation in slope–intercept form.
containing $(10, 1)$ and $(6, - 1)$ .