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Chapter 4: Q. 415 (page 539)

Find the equation of a line with given slope and containing the given point. Write the equation in slope鈥搃ntercept form.

m=-35andpoint(10,-5)

Short Answer

Expert verified

Equation of the line is y=-35x+1.

Step by step solution

01

Step 1. Given information 

We have been given:

m=-35andpoint(10,-5)

We have to write the equation in slope鈥搃ntercept form.

02

Step 2. Use the equation of the point-slope form of the line

The point-slope formula is y-y1=m(x-x1).

y-(-5)=-35(x-10)y+5=-35(x-10)

03

Step 3. Write in slope-intercept form y=mx+b.

y+5=-35(x-10)5(y+5)=-3(x-10)5y+25=-3x+305y=-3x+30-255y=-3x+5y=-35x+1

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