Answers NJ-Algebra I CRRecognizing Patterns

Point-Slope Form of a Line Answers

0 verified answers

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.

Free Preview

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of ?

y + 2 =(x + 3)

y – 2 = (x – 3)

y + 3 = (x + 2)

y – 3 = (x – 2)

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 – 7 = 3(x – 1)

y – 1 = 3(x – 7)

y – 7 = 4(x – 1)

y – 1 = 4(x – 7)

Which equation represents a line that passes through (5, 1) and has a slope of ?