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. Mark this and return

Answer 1

The incorrect step in Talia's solution is the step 4 which is  "step 4 is incorrect because it shows and incorrect substitution of slope value into the point-slope form". The correct steps are as follow:
step 1: choose a point on the line which is (2,5)
step 2: choose another point on the line which is (1,3)
Step 3: determine the slope which is m = rise / run. The line runs 1 unit and rises 2 units so the slope is m = 2/1
step 4: substitute point on the line (2,5) and the slope of the line such as:
y-y1 = m (x-x1)
y-5 = 2 (x-2)

This is the correct steps.