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Chapter 6: Q. 2 (page 437)

Find an equation for the line with slope-3 containing the point (-2,5).

Short Answer

Expert verified

The equation of the line isy=-3x-1.

Step by step solution

01

Step 1. Given Information

Slope of the line(m)is -3.

The line passes through the point (-2,5).

We need to find the equation of the line.

02

Step 2. Finding the equation of the line

Equation of line in standard format is y=mx+cwhere mis the slope of the line and cis the intercept of the line.

Substituting the values in the equation we get,

role="math" localid="1646375934175" y=mx+c鈬�5=-3(-2)+c鈬�5=6+c鈬�c=5-6鈬�c=-1

The equation of the line isrole="math" localid="1646375948929" y=-3x-1.

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