Keith is the leading goal scorer for a team in an hockey league. last season he scored 42 goals in 82 games. assuming he scores goals at a constant rate what is the slope of line that represents this relationship if the number of games is along the x-axis and the number of goals is along the y-axis

0.512 goals per game

Step-by-step explanation:

Given:

The number of games is represented by 'x' and number of goals is represented by 'y'.

Now, 'y' varies directly with x and at a constant rate.

A direct relationship line is given as:

Where, 'm' is the constant rate of change.

Now, for

So, a point on the line is given as (82, 42).

Plug in the given values in the above equation and solve for 'm'. This gives,

Therefore, Keith scores at a constant rate of 0.512 goals per game.

step-by-step explanation:

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.