Chapter 1: Q. 50 (page 41)

Find an equation for the line with the given properties. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer.
Containing the points $(- 3, 4) a n d (2, 5)$

Short Answer

Expert verified

The equation of line is $y = \frac{1}{5} x - \frac{23}{5}$

Step by step solution

Step 1. Given Information

The given points are $(- 3, 4) a n d (2, 5)$

Step 2. Calculation

Use the given points to find the slope of line.

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{5 - 4}{2 - (- 3)} = \frac{1}{5}$

Use the point slope equation to find the equation of line in slope intercept form.

$y - y_{1} = m (x - x_{1}) y - 5 = \frac{1}{5} (x - 2) y - 5 = \frac{x}{5} - \frac{2}{5} y = \frac{x}{5} - \frac{23}{5}$

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Find an equation for the line with the given properties. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer.
Containing the points $(- 3, 4) a n d (2, 5)$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

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Find an equation for the line with the given properties. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer. Containing the points(-3,4)and(2,5)

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Calculus

Geometry

Pure Maths

Mechanics Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Find an equation for the line with the given properties. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer.
Containing the points $(- 3, 4) a n d (2, 5)$