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alia 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?

Respuesta :

texaschic101
(2,5)(1,3)
slope(m) = (3 - 5) / (1 - 2) = -2/-1 = 2 (2 units up, one unit to the right)

y - y1 = m(x - x1)....using (1,3)
y - 3 = 2(x - 1)....talia's last step is incorrect because she didn't sub in her slope of 2

Answer:

The equation of the graph line in point-slope form is [tex]y=2x+1[/tex]

Step-by-step explanation:

In last step Alia did not plug the slope,

The procedure to calculate slope as mention below:-

The slope from two point is calculated as ;

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The given two points are (2,5) and (1,3).

Now, put the points in above slope formula

[tex]m=\frac{3-5}{1-2}[/tex]

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

[tex]m=2[/tex]

so, the slope is m = 2

Slope intercept equation of line through given point is: [tex]y-y_1=m(x-x_1)[/tex]

[tex]y-5=2(x-2)[/tex]

[tex]y-5=2x-4[/tex]

Add both the sides by 5, in above equation,

[tex]y=2x-4+5[/tex]

[tex]y=2x+1[/tex]

The equation of the graph line in point-slope form is [tex]y=2x+1[/tex]

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