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91Ó°ÊÓ

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.

2,−3,y=4x−9

Short Answer

Expert verified

The required equation is represented by y=4x−11.

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=4

02

Step 2. Determine the required equation.

Take the help of obtained standard form represented by y−y1=mx−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.

role="math" localid="1647435719577" y−−3=4x−2y+3=4x−8y=4x−11

03

Step 3. Write the conclusion.

The obtained equation isy=4x−11 so it is the required equation.

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