3 years ago

5.3.8

Mathematics

2 answers:

tatuchka [14]3 years ago

8 0

Answer:

Step-by-step explanation:

$m=\frac{rise}{run}=\frac{1+11}{1+3}=\frac{12}{4}=\boxed{3}$

The slope of the line would be 3.

Hope this helps.

Damm [24]3 years ago

8 0

Answer:

Slope = 3

Step-by-step explanation:

Let (x1,y1) = (-3,-11) and (x2,y2) = (1,1)

Slope = y2-y1/(x2-x1)

1-(-11)/(1-(-3) = 12/4 = 3

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The table shows the relationship between the number of minutes Rodney spends practicing playing the piano p, and the number of m

vagabundo [1.1K]

<u>Answer-</u>

The equation that describes the pattern is,

$\boxed{\boxed{y=2{x}+30}}$

<u>Solution-</u>

P = Number of minutes Rodney spends practicing playing the piano

G = Number of minutes Rodney spends practicing playing the guitar

Taking P on x axis and G on y axis, the points are,

$(0,30),(15,60),(30,90),(45,120)$

Taking first two points i.e $(0,30),(15,60)$ , the line equation will be,

$\Rightarrow \dfrac{y-y_1}{y_2-y_1}=\dfrac{x-x_1}{x_2-x_1}$

$\Rightarrow \dfrac{y-30}{60-30}=\dfrac{x-0}{15-0}$

$\Rightarrow \dfrac{y-30}{30}=\dfrac{x}{15}$

$\Rightarrow 15(y-30)=30{x}$

$\Rightarrow y-30=2{x}$

$\Rightarrow y=2{x}+30$

Putting the other two points i.e $(30,90),(45,120)$ in the equation, they also satisfy the equation. That means they are also on the same line $y=2{x}+30$ .

From the result, it is evident that P and G are linearly related.

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