AnswersKY-Math 8 A 1st nine weeks Plus Edgneuity HB - 421Writing Linear Equations Given Two Points

Writing Linear Equations Given Two Points Answers

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What is the equation of the line passing through the points (2, –1) and (5, –10) in slope-intercept form?

A
y = negative 3 x minus 5
Option A
B
y = negative 3 x + 5
Option B
C
y = 3 x minus 5
Option C
D
y = 3 x + 5
Option D
2
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Lindsay used two points, and , to find the equation of the line, y = mx + b, that passes through the points. First, she used the definition of slope and determined that the value of m is . Given this information, which expression must represent the value of b?

Question illustration
A
y 1 minus (StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction) (x 1)
Option A
B
y 1 minus (StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction) (x 2)
Option B
C
y 1 + (StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction) (x 1)
Option C
D
y 1 + (StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction) (x 2)
Option D
3

What is the equation of the line that passes through the points (15, 9) and (-2, 9)?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

Mike correctly found the slope and y-intercept of the line passing through the points (–5, –2) and (3, 14) as follows. What is the equation of the line in slope-intercept form?

Question illustration
A
y = 2 x minus 8
Option A
B
y = 2 x + 8
Option B
C
y = 8 x minus 2
Option C
D
y = 8 x + 2
Option D
5

Which can be the first step in finding the equation of the line that passes through the points and in slope-intercept form?

Question illustration
A
Calculate .
Option A
B
Calculate .
Option B
C
Find that the point at which the line intersects with the line is (3, 0).
Option C
D
Find that the point at which the line intersects with the line is (2, 2).
Option D
6

What is the slope-intercept form of a line that passes through points (2, 11) and (4, 17)?

A
y = negative 3 x minus 5
Option A
B
y = 3 x minus 5
Option B
C
y = negative 3 x + 5
Option C
D
y = 3 x + 5
Option D
7

Which line has an equation of in slope-intercept form?

Question illustration
A
a line passing through the points (1, 9) and (3, 19)
B
a line passing through the points (2, –14) and (4, –24)
C
a line passing through the points (1, 1) and (3, 11)
D
a line passing through the points (2, –6) and (4, –16)
8

Terri wrote the equation using slope-intercept form for the line that passes through the points (4, 6) and (–2, 3).Step 1: Step 2: Step 3: Step 4: Which best describes Terri’s first error?

Question illustration
A
In step 1, the slope of the line should be .
Option A
B
In step 2, she should have substituted the point (4, 6).
C
In step 3, she should have subtracted 4 from both sides of the equation.
D
In step 4, the m and b values should be switched.
9

What is the equation of the line passing through the points (–25, 50) and (25, 50) in slope-intercept form?

A
y = negative 50 x
Option A
B
y = negative 50
Option B
C
y = 50 x
Option C
D
y = 50
Option D
10

What can be concluded about the line represented in the table? Select 3 options.xy–6–72–380

A
The slope is 2.
B
The slope is .
Option B
C
The y-intercept is –4.
D
The y-intercept is 8.
E
The points (–2, –5) and (8, 0) are also on the line.
F
The points (–5, –2) and (1, 10) are also on the line.

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