What is the relationship among proportional relationships,lines,rate of change,and slope?

Question

Its a essential question 

Answer 1

Proportional relationships and rates of change are algebraic terms. They delineate how one value - usually "x" - changes another value - usually "y."

 

Direct variation is an example and can be written as an equation in slope-intercept form: y = mx.

 

Lines and slope are geometric terms. They describe what the graphs of the solutions (ordered pairs) of an equation.

 

The two are related, in one way, by the slope. m in the equation is equal to Δy/Δx on he graph.

Answer 2

Hi Melanie, 

The relationship between the variables of the x and y axis is a proportional relationship that has a slope which is determined by calculating the rate of change in (rise/run) of the plotted line.

Best, 

Star