Slope from 2 points (CBA-2) Review

Slope from 2 points

(CBA-2) Review

Questions for your notes!

• What does ascending/descending order mean?

• My biggest looking negative number goes all the way on the ____.

• How do I know if a slope is positive or negative?

• What is the slope formula?

• What does it mean if I see 2 triangles on the same line?

Multiple Choice

Place these numbers in ascending order

• A C B D

• A C D B

• D B C A

• B D C A

Multiple Choice

What is the slope in the picture?

• Positive

• Negative

• Zero

Multiple Select

What formula do we use to find the slope from 2 points?

Multiple Choice

(hint: use your calculator!!)

• -9

• 5

• 9

• -1

Multiple Choice

Find the slope of the line that passes through:

(-3, -4) and (7, 6)

• 0

• Undefined

• 1

What does it mean when I see 2 triangles on the same line?

It means: THE SLOPES ARE EQUAL

So look for the keywords: EQAUL, SAME, EQUIVALENT

Multiple Choice

Triangle HJK and triangle PMK are similar right triangles. The coordinates of all the verticces are integers. Which statement is true about the slope of line HK and the slope of line PK.

• The slope of line HK is less than the slope of line PK because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for line HK than it is for line PK.

• The slope of line HK is equal to the slope of line PK because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is the same for line HK as it is for line PK.

• The slope of line HK is greater than the slope of line PK because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is greater for line HK than it is for line PK.

• The relationship between the slope of line HK and the slope of line PK cannot be determined because the traingles are congruent.

Multiple Choice

The slope of line CA is  $-\frac{3}{2}$  . Which of the following is true about the slope of line XZ?

• The slope of line XZ is the negative reciprocal of the slope of line CA because the triangles are flipped.

• The slope of line XZ is one-half the slope of line CA because the ratio of corresponding sides between the triangles is  $\frac{1}{2}$  .

• The slope of line XZ is the same as the slope of line CA because the ratios of the corresponding sides of the triangles are equal.

• The is no relationship between the slope of line XZ and the slope of line CA.

• Which proportion can be used to show that the slope of line AC is equal to the slope of line CE?

• Step 1: Look at the line AC. Write down the point for A and the point for C

• Step 2: Label the numbers for A: x1 y1. Then label the numbers for C: x2 y2.

• Step 3: Plug them into the slope formula BUT DO NOT SOLVE IT

• Step 4: Look at the line CE. Write down the point for C and the point for E

• Step 5: Label the numbers for C: x1 y1. Then label the numbers for E: x2 y2. Then repeat step 3 and match them!

Here is a link YouTube Video that demonstrates the process:

https://www.youtube.com/watch?v=WKnWkuRbB80

(copy the link and paste it in a new tab!)

Multiple Choice

Triangle PQR and RST are similar right triangles. Which proportion can be used to show that the slope of line PR is equal to the slope of line RT?

• $\frac{3-7}{-4-\left(-7\right)}=\frac{-5-3}{2-\left(-4\right)}$

• $\frac{3-\left(-4\right)}{7-\left(-7\right)}=\frac{-5-2}{3-\left(-4\right)}$

• $\frac{-4-\left(-7\right)}{3-7}=\frac{2-\left(-4\right)}{-5-3}$

• $\frac{-4-\left(-3\right)}{-7-7}=\frac{2-\left(-5\right)}{-4-3}$

Multiple Choice

Which proportion could be used to show the slope of line VX is equal to the slope of line XZ?

• $\frac{1-5}{1-2}=\frac{5-1}{3-1}$

• $\frac{1-\left(-5\right)}{1-\left(-2\right)}=\frac{5-1}{3-1}$

• $\frac{-2-\left(-5\right)}{-2-1}=\frac{5-1}{3-1}$

• $\frac{1-\left(-2\right)}{1-\left(-5\right)}=\frac{3-1}{5-1}$

RECAP of the Lesson!