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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.

鈭�3,6,y=14x+2

Short Answer

Expert verified

The required equation is represented by y=鈭�4x鈭�6.

Step by step solution

01

Step 1. Determine the slope of provided equation.

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

m=14

02

Step 2. Determine the required equation.

Take the help of obtained standard form represented by y鈭�y1=mx鈭�x1in which the required values can be filled by using the reverse of obtained slope that is 鈭�4because 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 x1,y1.

y鈭�6=鈭�4x鈭�鈭�3y鈭�6=鈭�4x鈭�12y=鈭�4x鈭�12+6y=鈭�4x鈭�6

03

Step 3. Write the conclusion.`

The obtained equation isy=鈭�4x鈭�6 so it is the required equation.

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Most popular questions from this chapter

Graphy=2x鈭�3.

Write each equation in slope-intercept form.

y鈭�3=4x+3

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3x+4y=8

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鈭�2,鈭�1,m=鈭�3

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