Task Sets: Graph proportional relationships, interpreting the unit rate as the slope - Common Core Math - Grade 8

Recall / Warm-Up

Which graph represents a proportional relationship?

A straight line that passes through $(0,0)$

A straight line that crosses the y-axis at $(0,3)$

A curved graph passing through $(0,0)$

Any graph with positive values

For $y = 4x$ , what is the unit rate (and slope)?

A line passes through $(0,0)$ and $(5,15)$ . Find the slope.

Fluency Practice

A table includes $(x,y)$ pairs $(2,5)$ , $(4,10)$ , and $(6,15)$ . What is the unit rate?

Compare $y=2x$ and $y=5x$ .

Which line is steeper?

$y=2x$ is steeper

$y=5x$ is steeper

They are equally steep

Cannot tell without graphing

Which relationship is NOT proportional?

$y=\frac{3}{4}x$

$y=2x+1$

A graph through $(0,0)$ and $(4,8)$

A table where $\frac{y}{x}=6$ for every nonzero $x$

Use points $(2,6)$ and $(7,21)$ on the same line to find slope.

For $y=0.8x$ , when $x$ increases by 1, $y$ increases by ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ , so the slope is ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ .

unit-rate increase:

slope:

Exercises: Proportional Graphs, Unit Rate, and Slope

Recall / Warm-Up

Fluency Practice