Students will be able to:
Understand how the constant of proportionality and the slope relate in a linear equation.
Write a linear equation in the form y = mx when the slope is given.
Graph a linear equation in the form y = mx.
The slope, constant of proportionality, and unit rate are equal for
proportional relationships.
EQUATION FOR A PROPORTIONAL RELATIONSHIP
The equation for a proportional relationship is y = mx where m represents
the slope of the line.
GRAPH MODEL
The line passes through the origin (0, 0) and rises 4 units for each
1-unit increase in x.
m = rise / run = 4 / 1 = 4
y = mx, or y = 4x
The graph labels a rise of 4, a run of 1, and the slope m = 4/1.