Chapter 3: Q 189. (page 293)

In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form.
$(0, 4) and (2, - 3)$

Short Answer

Expert verified

The equation obtained is: $y = - \frac{7}{2} x + 4$

Step by step solution

Step 1. Given Data

Points: $(0, 4) and (2, - 3)$

Step 2. Finding the slope using given points

The slope of the line through $(0, 4) and (2, - 3) :$

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} (1) where, y_{2} = - 3 y_{1} = 4 x_{2} = 2 x_{1} = 0 Putting values in (1), we get m = \frac{- 3 - 4}{2 - 0} = \frac{- 7}{2} m = \frac{- 7}{2}$

Step 3. Point slope form.

Choose one point

let's take point $(2, - 3)$

Now,

Substitute the values in the point-slope form which is:

$y - y_{1} = m (x - x_{1}) y - (- 3) = - \frac{7}{2} (x - 2) y + 3 = - \frac{7}{2} x + 7$

Step 4. Converting equation in slope-intercept form.

$y + 3 = - \frac{7}{2} x + 7 y = - \frac{7}{2} x + 7 - 3 y = - \frac{7}{2} x + 4$

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In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form.
$(0, 4) and (2, - 3)$

Short Answer

Step by step solution

Step 1. Given Data

Step 2. Finding the slope using given points

Step 3. Point slope form.

Step 4. Converting equation in slope-intercept form.

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In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form.(0,4)and(2,-3)

Short Answer

Step by step solution

Step 1. Given Data

Step 2. Finding the slope using given points

Step 3. Point slope form.

Step 4. Converting equation in slope-intercept form.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Theoretical and Mathematical Physics

Mechanics Maths

Pure Maths

Discrete Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form.
$(0, 4) and (2, - 3)$