Chapter 4: Q. 488 (page 540)

In the following exercises, find the equation of each line. Write the equation in slope–intercept form.
$m = - \frac{3}{4}$ , containing point $(8, - 5)$

Short Answer

Expert verified

The equation of the line is $y = - \frac{3}{4} x + 1$ .

Step by step solution

Step 1. Given Information

We are given the point $(8, - 5)$ and slope $- \frac{3}{4}$ . We need to find the equation of the line using the slope and the point.

Step 2. Finding the equation of the line

The equation of the line with slope $m = - \frac{3}{4}$ and point $(8, - 5)$ is:

$(y - y_{1}) = m (x - x_{1}) \Rightarrow (y + 5) = - \frac{3}{4} (x - 8) \Rightarrow y = - \frac{3}{4} x + 6 - 5 \Rightarrow y = - \frac{3}{4} x + 1$

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In the following exercises, find the equation of each line. Write the equation in slope–intercept form.
$m = - \frac{3}{4}$ , containing point $(8, - 5)$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the equation of the line

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In the following exercises, find the equation of each line. Write the equation in slope–intercept form.m=-34, containing point 8,-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

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Theoretical and Mathematical Physics

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In the following exercises, find the equation of each line. Write the equation in slope–intercept form.
$m = - \frac{3}{4}$ , containing point $(8, - 5)$