Chapter 4: Q. 468 (page 540)

In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope–intercept form.
line $y + 2 = 0$ , point $(3, - 3)$

Short Answer

Expert verified

Equation in slope-intercept form is $y = - 3$ .

Step by step solution

Step 1. Given information

Line $y + 2 = 0$

Point (3,-3)

Step 2. Finding the slope of given line

As slope-intercept form is $y = m x + c$ .

Slope of given line is 0.

Step 3. Finding slope of parallel line

As parallel lines have same slope, therefore, slope of parallel line is also 0.

Step 4. Identifying the point

Given point $= (3, - 3)$

So, $x_{1} = 3 y_{1} = - 3$

Step 5. Substituting the values in point-slope form and simplifying

Slope - intercept form,

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

Putting values and simplifying,

$y - y_{1} = m (x - x_{1}) y - (- 3) = 0 (x - 3) y + 3 = 0$

Step 6. Equation in slope-intercept form

$y + 3 = 0 y = - 3$

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In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope–intercept form.
line $y + 2 = 0$ , point $(3, - 3)$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding the slope of given line

Step 3. Finding slope of parallel line

Step 4. Identifying the point

Step 5. Substituting the values in point-slope form and simplifying

Step 6. Equation in slope-intercept form

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In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope–intercept form.liney+2=0, point(3,-3)

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding the slope of given line

Step 3. Finding slope of parallel line

Step 4. Identifying the point

Step 5. Substituting the values in point-slope form and simplifying

Step 6. Equation in slope-intercept form

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Applied Mathematics

Statistics

Mechanics Maths

Decision Maths

Geometry

Study anywhere. Anytime. Across all devices.

In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope–intercept form.
line $y + 2 = 0$ , point $(3, - 3)$