Chapter 4: Q29. (page 272)

Write an equation in point-slope form for the line that passes through the given point with the slope provided.
$(- 2, 1)$ , slope $- 3$

Short Answer

Expert verified

The equation of the line in point-slope form is $y - 1 = - 3 (x + 2)$ .

Step by step solution

Step 1. The equation in the point-slope form:

The equation of the line passing through the point $(x_{1}, y_{1})$ and having slope $m$ , in point-slope form is given by,

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

Step 2. Write an equation for the line passing through the point (−2,1) having slope −3.

Substitute $x_{1} = - 2, y_{1} = 1$ and $m = - 3$ in (1),

$y - 1 = - 3 (x - (- 2)) y - 1 = - 3 (x + 2)$

Therefore, the equation of the line in point-slope form is $y - 1 = - 3 (x + 2)$ .

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Write an equation in point-slope form for the line that passes through the given point with the slope provided.
$(- 2, 1)$ , slope $- 3$

Short Answer

Step by step solution

Step 1. The equation in the point-slope form:

Step 2. Write an equation for the line passing through the point (−2,1) having slope −3.

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Write an equation in point-slope form for the line that passes through the given point with the slope provided.−2,1, slope −3

Short Answer

Step by step solution

Step 1. The equation in the point-slope form:

Step 2. Write an equation for the line passing through the point (−2,1) having slope −3.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Logic and Functions

Statistics

Theoretical and Mathematical Physics

Geometry

Pure Maths

Study anywhere. Anytime. Across all devices.

Write an equation in point-slope form for the line that passes through the given point with the slope provided.
$(- 2, 1)$ , slope $- 3$