Chapter 4: Q. 123 (page 529)

Find an equation of a line containing the points $(3, 1)$ and $(5, 6)$ .

Short Answer

Expert verified

The equation of the line is $y = \frac{5}{2} x - \frac{13}{2}$ .

Step by step solution

Step 1. Given Information.

The points are:

$(3, 1)$ and $(5, 6)$ .

Step 2. Finding the Slope

The slope of a line is,

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Inputting the values,

$m = \frac{6 - 1}{5 - 3}$

$= \frac{5}{2}$

Step 3. Equation of a line.

The point-slope form is,

$(y - y_{1}) = m (x - x_{1})$

Inputting the values,

$(y - 1) = \frac{5}{2} (x - 3) y - 1 = \frac{5}{2} x - \frac{15}{2} y = \frac{5}{2} x - \frac{13}{2}$

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Find an equation of a line containing the points $(3, 1)$ and $(5, 6)$ .

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Finding the Slope

Step 3. Equation of a line.

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Find an equation of a line containing the points(3,1)and(5,6).

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Finding the Slope

Step 3. Equation of a line.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Logic and Functions

Statistics

Geometry

Decision Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find an equation of a line containing the points $(3, 1)$ and $(5, 6)$ .