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3 years ago

A line passes through (1, –5) and (–3, 7).

1 answer:

5 0

Slope of the line =(7- -5) / (-3-1) = 12 / -4 = -3

a. point slope form is y + 5 = -3(x - 1) Answer

b rearrange to slope-intercept form:-
y = -3x + 3 - 5
y = -3x - 2 Answer

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25%

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2 years ago

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

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Answer-

The equation that describes the pattern is,

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

Solution-

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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3 years ago

You deposit $5000 in a bank account that pays 3.5% annual

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Step-by-step explanation:

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2 years ago

Ana can finish a certain job in 10 hours. Together, Ana and Nina can finish the same job in 3 hours. How many hours can Nina fin

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Step-by-step explanation:

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$.\qquad \quad 4.5=x$

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2 years ago

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2 years ago

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