Straight lines exam: slope, points and crossing

Question 1

Find the line through A(1, 1) and B(0, 2), written as y = mx + b.

Accepted Answer

m = −1 · b = 2

Question 2

A line has slope m = 1 and passes through P(−1, 3). Written as y = mx + b, what is b?

Accepted Answer

b = 4

Question 3

Find the line through A(1, −10) and B(4, −22), written as y = mx + b.

Accepted Answer

m = −4 · b = −6

Question 4

Find the line through A(3, 18) and B(6, 33), written as y = mx + b.

Accepted Answer

m = 5 · b = 3

Question 5

A line has slope m = 5 and passes through P(−3, −12). Written as y = mx + b, what is b?

Accepted Answer

b = 3

Question 6

Find the line through A(1, −2) and B(0, 2), written as y = mx + b.

Accepted Answer

m = −4 · b = 2

Question 7

Find the line through A(2, −6) and B(1, −5), written as y = mx + b.

Accepted Answer

m = −1 · b = −4

Question 8

Find the line through A(2, 13) and B(1, 9), written as y = mx + b.

Accepted Answer

m = 4 · b = 5

Question 9

A line has slope m = 2 and passes through P(−2, −6). Written as y = mx + b, what is b?

Accepted Answer

b = −2

Question 10

Find the line through A(0, 2) and B(−3, 17), written as y = mx + b.

Accepted Answer

m = −5 · b = 2

Question 11

Where do these two lines cross? y = 5x − 11 y = −2x − 4

Accepted Answer

x = 1 · y = −6

Question 12

Find the line through A(−3, −7) and B(−2, −4), written as y = mx + b.

Accepted Answer

m = 3 · b = 2

Question 13

Where do these two lines cross? y = −x − 1 y = −4x − 19

Accepted Answer

x = −6 · y = 5

Question 14

Find the line through A(0, 1) and B(−3, 6), written as y = mx + b.

Accepted Answer

m = −5/3 · b = 1

Question 15

Where do these two lines cross? y = x + 9 y = −(1/3)x − 7

Accepted Answer

x = −12 · y = −3

Question 16

A line has slope m = −1/2 and passes through P(4, 3). Written as y = mx + b, what is b?

Accepted Answer

b = 5

Question 17

Find the line through A(−6, 9) and B(−3, 4), written as y = mx + b.

Accepted Answer

m = −5/3 · b = −1

Question 18

A line has slope m = 4 and passes through P(−1, −1). Written as y = mx + b, what is b?

Accepted Answer

b = 3

Lines: slope and points