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.

Steps 3 and 4 are incorrect because
(a) An incorrect value for slope was obtained in step 3.
(b) The incorrect value for the slope was used in step 4.

Explanation:
Let us evaluate Talia's steps.

Step 1: Select (2, 5) as a point on the line.
            CORRECT

Step 2: Select another point (1, 3) on the line.
            CORRECT

Step 3: Count units to the right and count units up, to determine the slope.
            Units right = 2 - 1 = 1
            Units up = 5 - 3 = 2
            Slope = (Units up)/(Units right) = 2/1 = 2
            INCORRECT because Talia did not obtain a slope of 2.

Step 4: Substitute obtained values in the point-slope form.
             (y - y1) = m(x - x1). If we select the point (1, 3), then
            y - 2 = 2(x - 1).
            Talia's equation is INCORRECT because she used an incorrect value
            for the slope.