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91Ó°ÊÓ

Write an equation in slope-intercept form of the line with slope -23 that passes through (-2,5).

Short Answer

Expert verified

The equation of line in slope intercept form is 2x+3y=11

Step by step solution

01

Step-1 –Determining the Slope and Point

The slope of the equation, m=-23

The point passes through line is (-2,5)

02

Step-2-General equation of Slope Intercept form

y-y1=m(x-x1)

Where x1and y1are a point the line intersects and mis the slope.

03

Step-3 –Determining the Equation in slope intercept form

m=-23, x1=-2, y1=5

localid="1647534724888" y-y1=m(x-x1)or,y-5=-23(x+2)or,y-5=-23x-43or,3y-15=-2x-4or,2x+3y=11

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