Algebra II Lesson 2.4 More on Slope

Lesson 2.4

More on Slope

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Write an equation of the line passing through (-2, 5) and parallel to the line whose equation is

 $y=3x+1$ . 

Express the equation in slope-intercept form.

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Find the slope of any line that is perpendicular to the line whose equation is

 $x+3y-12=0$  . 

Write the slope as a whole number or as a simplified fraction.

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Write the equation of the line passing through (-2, -6) and perpendicular to the line whose equation is

 $x+3y-12=0$  . Express the equation in general form.

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Find the slope of the green line segment for the men. Express the slope correct to two decimal places.

Poll

In the previous example, which method did you like better?

• A - Find the values of

  $f\left(x_1\right)$ and $f\left(x_2\right)$ , then use the slope formula.

• B - Use the function within the average rate of change formula.

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Find the average rate of change of

 $f\left(x\right)=x^3$  from  $x_1=0$   to  $x_2=1$  . Write as an integer or a simplified fraction form.

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Find the average rate of change of 
 $f\left(x\right)=x^3$   from   $x_1=1$   to   $x_2=2$   . Write as an integer or a simplified fraction form.

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Find the average rate of change of $f\left(x\right)=x^3$  from  $x_1=-2$  to  $x_2=0$  . Write as an integer or simplified fraction.