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 . Step 4: Substitute those values into the point-slope form. y – y1 = m(x – x1) y – 3 = (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:

d

Step-by-step explanation:

Answer 2

The step which is INCORRECT is no other than the step 4 is incorrect because it shows the incorrect substitution. The step one is correct, the chosen point (2,5) is on the line, same with step 2 where the chosen point (1,3) is also in the chosen line. While step 3 is also correct where the line runs 1 unit rises 2 units such as slope m = 2/1. To make step 4 correct, we should substitute slope in step 3 in the equation below:
(y - y1) = m (x-x1) where m is the slope, in this problem m is 2/1
using point (1,3) and slope m=2/1, we have:
y - 3 = 2 (x - 1)

Thus, step 4 in Talia's solution is incorrect.