Chapter 4: Q14. (page 275)

Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of each equation.
$(- 3, 6)$ , $y = \frac{1}{4} x + 2$

Short Answer

Expert verified

The required equation is represented by $y = - 4 x - 6$ .

Step by step solution

Step 1. Determine the slope of provided equation.

Take the help of the standard form $y = m x + c$ in which the representation of the slope is m so compare this equation with the provided equation.

$m = \frac{1}{4}$

Step 2. Determine the required equation.

Take the help of obtained standard form represented by $y - y_{1} = m (x - x_{1})$ in which the required values can be filled by using the reverse of obtained slope that is $- 4$ because both the lines are having a perpendicular relation so their slope will be reverse of each other and take provided point as it is in the form of $(x_{1}, y_{1})$ .

$y - 6 = (- 4) (x - (- 3)) y - 6 = - 4 x - 12 y = - 4 x - 12 + 6 y = - 4 x - 6$

Step 3. Write the conclusion.`

The obtained equation is $y = - 4 x - 6$ so it is the required equation.

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Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of each equation.
$(- 3, 6)$ , $y = \frac{1}{4} x + 2$

Short Answer

Step by step solution

Step 1. Determine the slope of provided equation.

Step 2. Determine the required equation.

Step 3. Write the conclusion.`

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Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of each equation.−3,6,y=14x+2

Short Answer

Step by step solution

Step 1. Determine the slope of provided equation.

Step 2. Determine the required equation.

Step 3. Write the conclusion.`

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Theoretical and Mathematical Physics

Logic and Functions

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Mechanics Maths

Geometry

Study anywhere. Anytime. Across all devices.

Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of each equation.
$(- 3, 6)$ , $y = \frac{1}{4} x + 2$