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

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

______are loans to a company or government for a set amount of time they earn interest in are considered low-risk Investments

Citrus2011 [14]

I think the answer is B

3 0

3 years ago

Tim and Tom are trying to earn money to buy a new game system over a 3-month period. Tim saved $45.14 each month. If they need a

Ivahew [28]

The correct answer is C:$76.05. Tim would make 135.42 in three months and the total (221.47) minus 135.42 equals 76.05.

6 0

3 years ago

Read 2 more answers

If two cubes have edges of 1 and 2 , what is the sum of their volume???

Ivan

Volume of a cube: V = s^3, where s is the length of the edge.

So, the sum of them will be 1^3 + 2^3 = 9

7 0

3 years ago