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otez555 [7]
3 years ago
7

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. Mark this and return
Mathematics
1 answer:
Dafna11 [192]3 years ago
7 0
The incorrect step in Talia's solution is the step 4 which is  "step 4 is incorrect because it shows and incorrect substitution of slope value into the point-slope form". The correct steps are as follow:
step 1: choose a point on the line which is (2,5)
step 2: choose another point on the line which is (1,3)
Step 3: determine the slope which is m = rise / run. The line runs 1 unit and rises 2 units so the slope is m = 2/1
step 4: substitute point on the line (2,5) and the slope of the line such as:
y-y1 = m (x-x1)
y-5 = 2 (x-2)

This is the correct steps.
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Start from the point farther down, the point on (5,0). Look and see how many units it takes to go up/down to where the point on (0,3) is.

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Remove the parentheses: y = -3/5x+3.

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Add -3/5x to both sides.

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