Chapter 4: Q20. (page 271)

Write an equation of the line that passes through the given point and has the given slope.
$(2, - 6)$ , slope $- 4$

Short Answer

Expert verified

The equation of the line that passes through the point $(2, - 6)$ and has the slope $- 4$ is $y = - 4 x + 2$ .

Step by step solution

Step 1. Write the equation of the line that passes through the point x1,y1 and has the slope m.

The equation of the line that passes through the point $(x_{1}, y_{1})$ and has the slope $m$ is given by:

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

Step 2. Write the equation of the line that passes through the point 2,−6 and has the slope −4.

The slope of the line is $- 4$ . Therefore, the value of $m$ is $- 4$ .

The given point is $(2, - 6)$ . Therefore, the values of $x_{1}$ and role="math" localid="1647413322828" $y_{1}$ are 2 and $- 6$ respectively.

Now substitute $- 4$ for $m$ , 2 for $x_{1}$ and $- 6$ for $y_{1}$ in the equation $y - y_{1} = m (x - x_{1})$ to find the equation of the line.

role="math" localid="1647413491066" $y - y_{1} = m (x - x_{1}) y - (- 6) = - 4 (x - 2) y + 6 = - 4 x + 8 y = - 4 x + 8 - 6 y = - 4 x + 2$

Therefore, the equation of the line that passes through the point $(2, - 6)$ and has the slope $- 4$ is $y = - 4 x + 2$ .

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Write an equation of the line that passes through the given point and has the given slope.
$(2, - 6)$ , slope $- 4$

Short Answer

Step by step solution

Step 1. Write the equation of the line that passes through the point x1,y1 and has the slope m.

Step 2. Write the equation of the line that passes through the point 2,−6 and has the slope −4.

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Write an equation of the line that passes through the given point and has the given slope.2,−6, slope−4

Short Answer

Step by step solution

Step 1. Write the equation of the line that passes through the point x1,y1 and has the slope m.

Step 2. Write the equation of the line that passes through the point 2,−6 and has the slope −4.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Logic and Functions

Discrete Mathematics

Probability and Statistics

Applied Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Write an equation of the line that passes through the given point and has the given slope.
$(2, - 6)$ , slope $- 4$