Linear Relations 8

What point is the y-intercept?

• (2,0)

• (0,2)

• (0,-2)

• there is no y-intercept

Answer explanation

The correct y-intercept is (0,-2) because it intersects the y-axis at -2 when x=0.

• -4

• -4x

• 5

• -5

Answer explanation

The y-intercept is the point where the line crosses the y-axis, which is the value of y when x=0. Substituting x=0 into the equation y=4x-5 gives y=-5, so the y-intercept is -5.

Which equation best represents the relationship between x and y in the table shown?

• y= 5x+5

• y=1/5x+5

• y=15x+5

• y=10x+5

Answer explanation

The correct equation is y= 5x+5 because the relationship between x and y in the table corresponds to a linear equation with a slope of 5 and a y-intercept of 5.

A dog walker earns $10 each day plus $3 per dog. What equation represents this model?

• y=3x + 10

• y=10x + 3

• y=13x

• y=10x - 3

Answer explanation

Answer Explanation or steps to get to the answer

Which equation matches the table?

• y = 3x + 9

• y = x + 9 

• y = x + 3

• y = 12x - 3

Answer explanation

The correct equation is y = 3x + 9 because it matches the values in the table by multiplying x by 3 and adding 9.

Which equation matches the table?

• y = 10x + 5

• y = 5x + 10

• y = 5x + 20

• y = x + 10

Answer explanation

The correct equation is y = 10x + 5 because it matches the pattern in the table where y increases by 10 for every increase of x by 1, with an initial value of 5.

Bowling costs $4 for shoe rental plus $5 for every game. Which equation shows how much it costs to go bowling for x games?

• y = 5x + 4

• y = 4x + 5

• y = 4(5)x

• y = 5x - 4

Answer explanation

The correct equation should account for the $4 shoe rental plus $5 for each game, resulting in y = 5x + 4.

What is the equation for the table?

• y =1/4x -3

• y =4x - 3

• y = -3x -3 

• y =-2x -3 

Answer explanation

The correct equation is y = 1/4x - 3 because it matches the pattern of the table data provided.

What is the common difference?
5, 9, 13, ...

• 9

• 5

• 4

• not arithmetic

Answer explanation

The common difference between the terms is 4, as each term is obtained by adding 4 to the previous term. Therefore, the correct answer is 4.

Which of the following equations follows the rule based on the table?

• y = 0x

• y = 6x

• y = x + 6

• y = x + 1

Answer explanation

The equation y = x + 6 follows the rule based on the table, where y increases by 6 for each unit increase in x.