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91Ó°ÊÓ

Write an equation of the line in slope-intercept form that passes through the given points.

2,5,−2,8

Short Answer

Expert verified

The required equation is represented by y=−34x+3.

Step by step solution

01

Step 1. Determine the formula that can be used.

The standard form associated with line that is having a travel through points which are two in county−y1=y2−y1x2−x1x−x1 can be used to calculate the required equation.

02

Step 2. Take the help of the obtained method.

Take the help of obtained standard form represented by y−y1=y2−y1x2−x1x−x1in which the required values can be filled by using the provided points as they are in the form of x1,y1x2,y2.

role="math" localid="1647430232281" y−5=8−5−2−2x−2y−5=−34x−2y=−34x−2+5y=−34x+3

03

Step 3. Write the conclusion.

The obtained equation isy=−34x+3so it is the required equation.

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