I need help with 4, 5,6, and 7. Please someone help me!

Hurrrryyyyy plllzzz. Determine the equation of the line that passes through the given points

pashok25 [27]

<h2>Answer:</h2>

y = 2

<h2>Step-by-step explanation:</h2>

To determine the equation of the line that passes through (10,2) and (-3,2), we need to determine the slope of the line. Then substitute the slope and any given point in point slope form to obtain the equation of the line.

<h3>Finding the Slope of the line:</h3>

$\implies \text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }$

$\implies \text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }$

<u>Substitute the coordinates of the given points:</u>

$\implies \text{Slope} = \dfrac{2 - 2}{-3 - 10 }$

<u>Simplify the equation to determine the slope:</u>

$\implies \text{Slope} = \dfrac{0}{-3 - 10 }$

∴ 0 divided by ANY number is ALWAYS 0.

$\implies \text{Slope} =0$

<h3>Finding the equation of the line:</h3>

Point slope form formula: y - y₁ = m(x - x₁)

x₁ and y₁ are the coordinates of any given point.
m is the slope

<u>Substitute the values in the point slope form:</u>

$\implies \text{Equation of line:} \ y - y_{1} = m(x - x_{1} )$

$\implies \text{Equation of line:} \ y - 2 = 0(x - 10)$

<u>Simplify the equation to determine the equation of the line:</u>

∴ Any number multiplied by 0 is 0.

$\implies \text{Equation of line:} \ y - 2 = 0$

$\implies \text{Equation of line:} \ y = 0 + 2$

$\implies \text{Equation of line:} \ y = 2$

Thus, the equation of the line is y = 2.

5 0

3 years ago

The negative effects of a recession would be reduced by which fiscal policy decision?

Elis [28]

Answer:

The negative effects of a recession would be reduced by which fiscal policy decision?

A. incurring a budget deficit which is used to retire debt held by the public

<h3>B. incurring a budget surplus and allowing that surplus to accumulate as idle Treasury balances</h3>

C. incurring a budget surplus, which is used to retire debt held by commercial banks

D. incurring a budget deficit by borrowing from the public and increasing expenditures

Step-by-step explanation:

#CarryOnLearning

3 0

3 years ago

You want to save $4,500 to buy an above-ground swimming pool. You deposit $3,750 in an account earning 5.5% simple interest. Aft

Arlecino [84]

Assuming the price of the pool does not change, then
Additional interest required is 4500-3750=750
using
I=Pit, we set up equation
750=3750*0.055*t
Solve for t
t=750/(3750*0.055)=3.64 years.
So will need to wait 3.64 years, or rounded up to 4 years.

8 0

4 years ago

Find the slope of the line running<br> through these two points (-4,5) and (8,-3)

Artemon [7]

Answer:

The slope is

$\frac{-3-5}{8-(-4)} =\frac{-8}{8+4} =\frac{-8}{12} =-\frac{2}{3}$