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Find the equation of the line with given slope and contains the given point .write the equation in slope intercept form.

m=-2,point(-1,-3)

Short Answer

Expert verified

The equation in slope intercept form isy=-2x-5.

Step by step solution

01

Step 1. Given information

The slope is m=-2and point(-1,-3).

02

Step 2. The equation of a line with passing  through the point (x,y) is  

y-y1=m(x-x1).

03

Step 3.  Find The equation of the line is

y-y1=m(x-x1)

y+3=-2(x+1)

y=-2x-5

04

Step 4. Conclusion

The equation in slope intercept form isy=-2x-5.

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