Find the point-slope form of the equation of the line passing through the points (–6, –4) and (2, –5).

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter4: Graphs
Section4.6: Find The Equation Of A Line
Problem 4.124TI: Find an equation of a line containing the points (1,4) and (6,2) .
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Find the point-slope form of the equation of the line passing through the points (–6, –4) and (2, –5).

Expert Solution
Step 1

Point slope form of the equation of the line:

The point slope form of the equation of the line passing through the points (x1, y1) and (x2, y2) is given below:

Algebra homework question answer, Step 1, Image 1
Step 2

Obtain the slope of the line passing through the points (–6, –4) and (2, –5):

The given points (x1, y1) and (x2, y2) are (–6, –4) and (2, –5).

The slope form of the line passing through the points (–6, –4) and (2, –5) is obtained as ­1/8 from the calculation given below:

Algebra homework question answer, Step 2, Image 1
Step 3

Find the point slope form of the equation of the line passing through the points (–6, –4) and (2, –5), when first point is the point on the line:

The first point is the point on the line. That is, (–6, –4) is the point on the line.

The point slope form of the equation of the line passing through the points (–6, –4) and (2, –5) is obtained as (y + 4) = (–1/8)*(x + 6) from the calculation given below:

Algebra homework question answer, Step 3, Image 1
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