Exercise 10 Page 334

Consider the given equation of a line. y=- 3/2x+6 When lines are parallel, they have the same slope. Because of this, we know that all lines that are parallel to the line whose equation is given will have a slope of - 32. We can write a general equation in slope-intercept form for these lines. y=- 3/2x+ b We are asked to write the equation of a line parallel to the given equation that passes through the point ( 2, - 1). By substituting this point into the above equation for x and y, we will be able to solve for the y-intercept b of the parallel line.

y=-3/2x+b

SubstituteII

x= 2, y= -1

-1=-3/2( 2)+b

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Solve for b

FracMultDenomToNumber

a/2* 2 = a

-1=-3+b

AddEqn

LHS+3=RHS+3

2=b

RearrangeEqn

Rearrange equation

b=2

Now that we have the y-intercept, we can write the parallel line to y=- 32x+6 through (2,- 1). y=- 3/2x+ 2