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 is $y = - 3 x - 1$ .

Step by step solution

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.

Step 2. Finding the equation of the line

Equation of line in standard format is $y = m x + c$ where $m$ is the slope of the line and $c$ is the intercept of the line.

Substituting the values in the equation we get,

role="math" localid="1646375934175" $y = m x + c \Rightarrow 5 = - 3 (- 2) + c \Rightarrow 5 = 6 + c \Rightarrow c = 5 - 6 \Rightarrow c = - 1$

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

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

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the equation of the line

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

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the equation of the line

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Applied Mathematics

Calculus

Pure Maths

Theoretical and Mathematical Physics

Logic and Functions

Study anywhere. Anytime. Across all devices.

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