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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.

Respuesta :

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.

[tex]y-y_{1}=m(x-x_{1})[/tex]

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

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Instead of counting how many rights and how many ups.

ashishdwivedilVT

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

What is the point-slope form of a straight line?

[tex]y-y_{1} = slope(x-x_1)[/tex] is called the point-slope form of a straight line.

a)We need to choose a point (2,5)

b) Let us choose another point (1,3)

c) Line runs 1 unit to right and rises 2 units up as shown in the attached diagram, so slope will be the ratio of the difference between y-coordinates to the corresponding difference between x-coordinates i.e. [tex]\frac{5-3}{2-1}[/tex]= 2.

d) Using point-slope form write the equation, point-slope form is:

[tex]y-y_{1} = slope(x-x_1)[/tex]

The equation will be: [tex]y-3 = 2(x-1)[/tex]

Therefore, from the above steps, we can say that step 3 will be incorrect because it shows an incorrect ratio for the slope.

To get more about straight-line equations visit:

brainly.com/question/13763238

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