Chapter 4: Q13. (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.
$(1, 4)$ , $y = - 2 x + 5$

Short Answer

Expert verified

The required equation is represented by $y = \frac{1}{2} x + \frac{7}{2}$ .

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.

$m = - 2$

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 $\frac{1}{2}$ 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 $(x_{1}, y_{1})$ .

$y - 4 = \frac{1}{2} (x - 1) y - 4 = \frac{1}{2} x - \frac{1}{2} y = \frac{1}{2} x - \frac{1}{2} + 4 y = \frac{1}{2} x + \frac{7}{2}$

Step 3. Write the conclusion.

The obtained equation is $y = \frac{1}{2} x + \frac{7}{2}$ 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.
$(1, 4)$ , $y = - 2 x + 5$

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. 1,4,y=−2x+5

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

Logic and Functions

Theoretical and Mathematical Physics

Pure Maths

Geometry

Probability and Statistics

Mechanics Maths

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.
$(1, 4)$ , $y = - 2 x + 5$