Chapter 14: Q. 1 (page 896)

Find an equation of the line with slope $5$ containing the point $(2, - 4) .$

Short Answer

Expert verified

The equation of a line with a slope $5$ and point $(2, - 4)$ is $y = 5 x - 14 .$

Step by step solution

Step 1. Given Information

The given point is $(2, - 4)$ and the slope is $5 .$

We have to find an equation of a line.

Step 2. Finding the equation

To find the equation of a line, we will use the point-slope formula which is $y - y_{1} = m (x - x_{1}) .$

Here, $m = 5 and (x_{1}, y_{1}) = (2, - 4)$

$y - (- 4) = 5 (x - 2) y + 4 = 5 x - 10 y = 5 x - 14$

So, the equation of a line is $y = 5 x - 14 .$

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Find an equation of the line with slope $5$ containing the point $(2, - 4) .$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the equation

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Find an equation of the line with slope 5containing the point 2,-4.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the equation

One App. One Place for Learning.

Most popular questions from this chapter

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Discrete Mathematics

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Find an equation of the line with slope $5$ containing the point $(2, - 4) .$