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Brooke found the equation of the line passing through the points (–7, 25) and (–4, 13) in slope-intercept form as follows. Step 1: m = StartFraction 13 minus 25 Over negative 4 minus (negative 7) EndFraction = StartFraction negative 12 Over 3 EndFraction = negative 4. Step 2: y = negative 4 x + b. 25 = negative 4 (negative 7) + b. 25 = 28 + b. 25 minus 28 = 28 + b minus 28. b = negative 3. Step 3: y = negative 3 x minus 4 What was Brooke’s error?

Respuesta :

Answer: She mixed up the slope and y-intercept when she wrote the equation in step 3.

Step-by- explanation:

Hope this helps :)

Brooke did a mistake in step 3 Brooke's error was he interchanged the slope and y-intercept.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

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

We have:

Brooke found the equation of the line passing through the points (–7, 25) and (–4, 13).

[tex]\rm m =\dfrac{13-25}{-4+7}\\[/tex]

m = -12/3

m = -4

y = -4x + b

Plug x = -7, y = 25

25 = -4(-7) + b

b = 25 - 28

b = -3

y = -4x - 3

Thus, Brooke did a mistake in step 3 Brooke's error was he interchanged the slope and y-intercept.

Learn more about the straight line here:

brainly.com/question/3493733

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