Exercise 18 Page 166

When lines are parallel they have the same slope. With this, we know that all lines that are parallel to our given line will have a slope of 12. y=1/2x-7 If we write the desired equation in slope-intercept form, y=mx+b, we can add this slope. y=1/2x+ b To determine the value of b, we can use the fact that our line must pass through point (-6,5). Let's substitute x= -6 and y= 5 into the equation and solve for b.

y=1/2x+b

SubstituteII

x= -6, y= 5

5=1/2( -6)+b

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Solve for b

MoveRightFacToNumOne

1/b* a = a/b

5=-6/2+b

CalcQuot

Calculate quotient

5=-3+b

AddEqn

LHS+3=RHS+3

8=b

RearrangeEqn

Rearrange equation

b= 8

Now that we have the y-intercept, we can write the equation of the line parallel to y= 12 x-7 that passes through (-6,5). y=1/2x+ 8