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Chapter 4: Q12. (page 275)

Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of each equation.

鈭�5,1,y=鈭�3x+2

Short Answer

Expert verified

The required equation is represented by y=鈭�3x鈭�14.

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=鈭�3

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 obtained slope because both the lines are having a parallel relation so their slope will be the same and take provided point as it is in the form of x1,y1.

y鈭�1=鈭�3x鈭�鈭�5y鈭�1=鈭�3x鈭�15y=鈭�3x鈭�14

03

Step 3. Write the conclusion.

The obtained equation isy=鈭�3x鈭�14 so it is the required equation.

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Most popular questions from this chapter

Write the given equation of line in slope-intercept form.

y鈭�2=3(x鈭�5)

Write the given equation of line in slope-intercept form.

y鈭�4=12(x+2)

State whether each sentence is true or false. If false replace the underlined word or number to make a true sentence.

The y-intercept is the y-coordinate of the point where the graph crosses the y-axis .

Determine the domain and range of the function graphed below.

Record your answers on a sheet of paper. Show your work.

Explain how you can determine whether two lines are parallel or perpendicular.
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