Question

Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:

Step 1: Choose a point on the line, such as (2, 5).
Step 2: Choose another point on the line, such as (1, 3).
Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is StartFraction one-half EndFraction.
Step 4: Substitute those values into the point-slope form.

y – y1 = m(x – x1)

y – 3 = y minus y 1 equals m left-parenthesis x minus x 1 right-parenthesis. (x – 1)

Which of Talia’s steps is incorrect?

Step 1 is incorrect because it uses a point that is not on the line.
Step 2 is incorrect because it uses a point that is not on the line.
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.

Answer 1

Answer: C. Step 3 is incorrect because it shows an incorrect ratio for the slope.

Step-by-step explanation: The rise is 2 and the run is 1, so the ratio would be 2/1 not 1/2.

Answer 2

Explanation:

Step 3 is incorrect because it shows an incorrect ratio for the slope.