Straight lines exam: slope, points and crossing

Question 1

A line has slope m = −3 and passes through P(−2, 10). Written as y = mx + b, what is b?

Accepted Answer

b = 4

Question 2

Find the line through A(−3, 14) and B(−2, 11), written as y = mx + b.

Accepted Answer

m = −3 · b = 5

Question 3

Find the line through A(−2, −11) and B(0, −1), written as y = mx + b.

Accepted Answer

m = 5 · b = −1

Question 4

A line has slope m = −3 and passes through P(3, −7). Written as y = mx + b, what is b?

Accepted Answer

b = 2

Question 5

Find the line through A(−1, −9) and B(−3, −19), written as y = mx + b.

Accepted Answer

m = 5 · b = −4

Question 6

A line has slope m = −3 and passes through P(2, −12). Written as y = mx + b, what is b?

Accepted Answer

b = −6

Question 7

A line has slope m = 4 and passes through P(−1, 0). Written as y = mx + b, what is b?

Accepted Answer

b = 4

Question 8

Where do these two lines cross? y = x − 6 y = −4x − 6

Accepted Answer

x = 0 · y = −6

Question 9

A line has slope m = 2 and passes through P(2, 8). Written as y = mx + b, what is b?

Accepted Answer

b = 4

Question 10

A line has slope m = 4 and passes through P(3, 6). Written as y = mx + b, what is b?

Accepted Answer

b = −6

Question 11

Where do these two lines cross? y = −x − 7 y = 2x − 4

Accepted Answer

x = −1 · y = −6

Question 12

A line has slope m = 4 and passes through P(2, 13). Written as y = mx + b, what is b?

Accepted Answer

b = 5

Question 13

A line has slope m = −3 and passes through P(3, −15). Written as y = mx + b, what is b?

Accepted Answer

b = −6

Question 14

Find the line through A(−6, −7) and B(3, −4), written as y = mx + b.

Accepted Answer

m = 1/3 · b = −5

Question 15

A line has slope m = 2 and passes through P(1, 6). Written as y = mx + b, what is b?

Accepted Answer

b = 4

Question 16

A line has slope m = −1/2 and passes through P(−4, 5). Written as y = mx + b, what is b?

Accepted Answer

b = 3

Question 17

Find the line through A(3, 3) and B(6, 8), written as y = mx + b.

Accepted Answer

m = 5/3 · b = −2

Question 18

Where do these two lines cross? y = −3x + 36 y = −x + 12

Accepted Answer

x = 12 · y = 0

📏 Lines: slope and points