5.3 - Writing in Slope-Intercept Form 3 (slope & coordinate)

A line has a slope of 2 and passes through the coordinate (1,5). What is the y-intercept of the line?

• b = 1

• b = 2

• b = 3

• b = 5

Answer explanation

Use the equation y = mx + b. Plug in 2 for m, 1 for x, and 5 for y, and solve for b.

A line has a slope of 2 and passes through the coordinate (1,5). What is the equation of that line written in slope-intercept form?

• y = 2x + 1

• y = 2x + 3

• y = 2x + 5

• y = 2x + 10

Answer explanation

Use the given slope and the y-intercept from the previous question.

A line has a slope of 1/3 and passes through the coordinate (6,4). What is the y-intercept of the line?

• b = 1/3

• b = 2

• b = 4

• b = 6

Answer explanation

Use the equation y = mx + b. Plug in 1/3 for m, 6 for x, and 4 for y, and solve for b.

A line has a slope of 1/3 and passes through the coordinate (6,4). What is the equation of that line written in slope-intercept form?

• y = 1/3x + 2

• y = 1/3x + 4

• y = 3x + 2

• y = 3x + 4

Answer explanation

Use the given slope and the y-intercept from the previous question.

A line has a slope of -4 and passes through the coordinate (2,-5). What is the y-intercept of the line?

• b = -8

• b = -5

• b = -4

• b = 3

Answer explanation

Use the equation y = mx + b. Plug in -4 for m, 2 for x, and -5 for y, and solve for b.

A line has a slope of -4 and passes through the coordinate (2,-5). What is the equation of that line written in slope-intercept form?

• y = -4x - 8

• y = -4x - 5

• y = -4x + 2

• y = -4x + 3

Answer explanation

Use the given slope and the y-intercept from the previous question.

A line has a slope of -2/3 and passes through the coordinate (-9,2). What is the y-intercept of the line?

• b = -4

• b = -2

• b = 6

• b = 18

Answer explanation

Use the equation y = mx + b. Plug in -2/3 for m, -9 for x, and 2 for y, and solve for b.

A line has a slope of -2/3 and passes through the coordinate (-9,2). What is the y-intercept of the line?

• y = -3x - 4

• y = -2x - 9

• y = -2/3x - 4

• y = 2/3x - 4

Answer explanation

Use the given slope and the y-intercept from the previous question.

A line has a slope of 1/2 and passes through the coordinate (-12, -10). What is the y-intercept of the line?

• b = -10

• b = -6

• b = -4

• b = -1/2

Answer explanation

Use the equation y = mx + b. Plug in 1/2 for m, -12 for x, and -10 for y, and solve for b.

A line has a slope of 1/2 and passes through the coordinate (-12, -10). What is the equation of that line written in slope-intercept form?

• y = -1/2x - 4

• y = -1/2x + 4

• y = 2x - 4

• y = -2x + 4

Answer explanation

Use the given slope and the y-intercept from the previous question.