Question

A relationship between x and y is defined by the equation − 5 x + 3 y = 12 , where x is the input and y is the output. Indicate whether each of these statements about the relationship is true or false by selecting a box in each row. Statement True False y is a function of x . The graph of the relationship is a line. The graph of the relationship passes through the origin. When the input is 6, the output is 14.

Answer 1

Explanation:

y is a function of x . TRUE

The graph of the relationship is a line. TRUE

The graph of the relationship passes through the origin. - it in standard form, when you plugin 0 for x or y, you get the other intersect( x-intercept: (12/-5,0) y-intercept: (0,4)) so it dosent go throught the origin. FALSE

When the input is 6, the output is 14. TRUE

-5(6)+3(14)=12

-30+42=12

12=12

Answer 2

y is a function-TRUE

The graph of the relationship is a line-TRUE

The graph of the relationship passes through the origin-FALSE

When the input is 6, the output is 14-TRUE