# Math

### Select a Subject

• Math Press Enter to activate

### Select a Type

• Calculator: Permitted Press Enter to activate

### Select a Question

• Calculator: Not Permitted Press Enter to activate

### Select a Question

• Reading Press Enter to activate

### Select a Question

• Writing Press Enter to activate

### Select a Question

• Essay Press Enter to activate

# Question 1 of 18

beginning of content:

# M:N:MC:1

Tags:
SAT

Exam

PSAT/NMSQT

Exam

PSAT 10

Exam

Calculator: Not Permitted
Heart of Algebra

Subscore

Line is graphed in the xy-plane below.

If line  is translated up 5 units and right 7 units, then what is the slope of the new line?

No

Yes

No

No

Choice B is correct. The slope of a line can be determined by finding the difference in the y-coordinates divided by the difference in the x-coordinates for any two points on the line. Using the points indicated, the slope is  Translating the line moves all the points on the line the same distance in the same direction, and the image will be a parallel line. Therefore, the slope of the image is

Choice A is not the correct answer. This value may result from a combination of errors. The student may misunderstand how the negative sign affects the fraction and apply the transformation as

Choice C is not the correct answer. This value may result from finding the slope of the line and then subtracting 5 from the numerator and 7 from the denominator.

Choice D is not the correct answer. This answer may result from adding  to the slope of the line.

Question Difficulty:
easy
Objective:

Students must make a connection between the graphical form of a relationship and a numerical description of a key feature.