Question

funtion 1 is defined by the equation y = -2t+6funtion 2 is defined by line h shown on the graph which funtion has a more negative slope

Answer 1

To determine which function has a more negative slope we have to calculate the slope of line h, with the following expression and two points given in the graph:

(0, 4) (4, 0)

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(0-4)/(4-0) \\ m=-(4)/(4)=-1 \end{gathered}`

The slope of line h is -1, and for function 1 we know that the slope-intercept form is given by:

y=mx+b

where, m is the slope of the line, so in this case the slope is -2.

So, the slope of function 1, -2 is more negative than function 2 (line h).