4.5 Write a Function Rule & Matching a Table to a Graph

Write the Equation!

• y = -5/2x - 2

• y = 5/2x - 1

• y = 2/5x - 3

• y = 5/2x - 3

Answer explanation

The correct equation is y = 5/2x - 3, which has a positive slope of 5/2 and a y-intercept of -3. This matches the criteria given in the question, making it the right choice among the options.

Which table is correct for y=4x+3?

• 
• 
• 

Which graph shows the correct line for the table?

• 
• 
• 

What is the equation of the line?

• y = 1/2x

• y = x + 2

• y = 2x

• y = x - 2

Answer explanation

The equation of the line is determined by its slope. The correct choice, y = 2x, indicates a slope of 2, meaning for every 1 unit increase in x, y increases by 2 units, which defines a straight line through the origin.

What is the equation of the line?

• y = 3x

• y = 1/3x

• y = x - 3

• y = 1/4x

Answer explanation

The equation of the line is determined by its slope. The correct choice, y = 1/3x, indicates a slope of 1/3, which is consistent with the problem's requirements, making it the correct answer.

What is the function of the table?

• y=2x

• y=x+2

• y=x/2

• y=x-2

Answer explanation

The function y=x+2 represents a linear equation where the output increases by 2 for every unit increase in x. This matches the table's function, indicating a consistent upward shift, making it the correct choice.

What is the function of the table?

• y=6x

• y=x+10

• y=x-10

• y=x÷6

Answer explanation

The function y=6x represents a linear relationship where y increases six times for every unit increase in x. This makes it the correct choice, as it clearly defines a direct proportionality between x and y.

Which equation matches the table?

• y = x + 5

• y = 5x

• y = x - 5

• x = y - 5

Answer explanation

The equation y = x + 5 indicates that for every x value, y is 5 units greater. This matches the table, as each corresponding y value is indeed 5 more than the x value, confirming that y = x + 5 is the correct choice.

Which equation matches the table?

• y = x 

• y = 5x

• y = x - 4

• y = x + 4

Answer explanation

The table shows a linear relationship where y increases by 4 when x increases by 0. The equation y = x + 4 correctly represents this pattern, as it indicates that for every x, y is always 4 units greater.

Write the equation for the table given

• y = 1/3x

• y = 3x

• y = -1/3x

• y = -3x

Answer explanation

The table shows a linear relationship where y increases three times for every increase of one in x. This indicates a slope of 3, leading to the equation y = 3x as the correct choice.