Mathematics, 13.10.2020 09:01 Theresab2021
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 StartFraction one-half EndFraction.
Step 4: Substitute those values into the point-slope form.
y β y1 = m(x β x1)
y β 3 = y minus y 1 equals m left-parenthesis x minus x 1 right-parenthesis. (x β 1)
Which of Taliaβs 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. Chin was shown the graph of a line that contained point (1, 7). He wrote f(x) = 4x + 3 to correctly represent the line. Which of these equations could represent the same line?
y β 7 = 3(x β 1)
y β 1 = 3(x β 7)
y β 7 = 4(x β 1)
y β 1 = 4(x β 7)
Answers: 2
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Talia wants to write the equation of the graphed line in point-slope form. These are the steps she p...
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