JKM4060
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Determine whether the graph represents a proportional or non-proportional relationship. Then select the correct equation in the form y=mx or y=mx+b to represent the relationship between the independent and dependent quantities.


This graph is an example of a blank area relationship. The equation that represents the relationship between the independent and dependent quantities is blank area.

Unproportional
Proportional
y=5x+20
y=60x
y=x+30

Help me fill in the blanks that say blanks

Determine whether the graph represents a proportional or nonproportional relationship Then select the correct equation in the form ymx or ymxb to represent the class=

Respuesta :

Answer:

Non-proportional

y = [tex]\frac{2}{15}x+20[/tex]

Step-by-step explanation:

If a line doesn't pass through the origin relationship represented by the line is non proportional.

In other words, any line having y-intercept is non-proportional.

From the graph attached,

Line has a y-intercept = 20

Therefore, relationship is non-proportional.

Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Since, the given line is passing through (0, 20) and (60, 28),

Slope of the line 'm' = [tex]\frac{28-20}{60-0}[/tex]

m = [tex]\frac{8}{60}[/tex]

   = [tex]\frac{2}{15}[/tex]

y-intercept 'b' = 20

Slope-intercept form of the equation is,

y = mx + b

So the equation will be,

y = [tex]\frac{2}{15}x+20[/tex]