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:

C

Step-by-step explanation:

Answer 2

Answer with explanation:

To determine the Equation of line in Point slope form

1.Choose a point on the line, such as (2, 5)

2. Choose another point on the line, such as (1, 3).

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 2.

4.Substitute those values into the point-slope form.

$y-y_{1}=m(x-x_{1})$

y-3=2(x-1)

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

To determine the slope we use the following formula

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Instead of counting how many rights and how many ups.