Algebra 1: Parallel vs. Perpendicular Line Test

Write the equation of a line parallel to the function $$f\left(x\right)=\frac{1}{3}x-3$$ and passing through the point (−6, 3) in slope-intercept form.

Choose the correct answer from each drop-down menu to complete the statement.

$$f\left(x\right)=$$ ​ (a)   $$x$$ + ​ (b)   .

What is the equation in standard form of the line that passes through the point

$$\left(6,\ -1\right)$$ and is parallel to the line represented by $$8x+3y=15$$ ?

Choose the best answer to fill in the blanks.

Parallel lines always have the ​ (a)   slope.

Perpendicular lines have slopes that are ​ (b)   .

The product of perpendicular slopes always equals ​ (c)  

What slope is parallel to this line?

Record your response as a simplified fraction or decimal.

(a)  

What slope is perpendicular to this line?

Record your response as a simplified fraction.

(a)  

Match the following perpendicular slopes.

What slope is parallel to this line?

Record your response as a simplified fraction.

(a)  

What slope is perpendicular to this line?

Record your response as a simplified fraction or decimal.

(a)  

Which equation describes the line that passes through the point $$\left(10,\ -6\right)$$ and is parallel to the line represented by the equation $$5x-2y=10$$ ?

Which equation describes the line that passes through the point $$\left(10,\ -6\right)$$ and is perpendicular to the line represented by the equation $$5x-2y=10$$ ?