$\large\boxed{y-\dfrac{1}{3}=\dfrac{3}{4}(x-4)\leftarrow\text{point-slope form}}\\\boxed{y=\dfrac{3}{4}x-2\dfrac{2}{3}\leftarrow\text{slope-intercept form}}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point

We have

slope $m=\dfrac{3}{4}$

point $\left9,\ \dfrac{1}{3}\right)\to x_1=4,\ y_1=\dfrac{1}{3}$

Substitute:

$y-\dfrac{1}{3}=\dfrac{3}{4}(x-4)$

Convert to the slope-intercept form (y = mx + b):

$y-\dfrac{1}{3}=\dfrac{3}{4}x-3$ <em>add 1/3 to both sides</em>

$y=\dfrac{3}{4}x-2\dfrac{2}{3}$

4 0

3 years ago

QUICK 20 POINTS - MEAN ABSOLUTE DEVIATION

nekit [7.7K]

Answer:

11.58000

Step-by-step explanation:

8 0

2 years ago

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A skirt originally cost $28. Alicia pays $21 for the skirt during a scale. What percent does Alicia save with the sale? (helpp )

kow [346]

Answer:

25% is the answer.,....

money Alicia save= 28-21= 7

percentage Alicia saves with the sale= 7/28*100

= 25%

3 0

3 years ago

Read 2 more answers