12 bars of soap for $8.69

Slope intercept form of a line that has a slope of -3/4 and passes through (4, 3)

tia_tia [17]

<h3>Explanation</h3>

First Method

We have the given slope value and the coordinate point that the graph passes through.

$y = mx + b$

where m = slope and b = y-intercept. Substitute the value of slope in the equation.

$y = - \frac{3}{4} x + b$

We have the given coordinate point as well. After we substitute the slope, we substitute the coordinate point value in the equation.

$3 = - \frac{3}{4} (4) + b \\$

Solve the equation for b-term

$3 = - 3 + b \\ 3 + 3 = b \\ 6 = b$

The value of b is 6. We substitute the value of b in the equation.

$y = - \frac{3}{4} x + 6$

Second Method

We can also use the Point-Slope form to solve the question.

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

Given the y1 and x1 = the coordinate point value.

Substitute the slope and coordinate point value in the point slope form.

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

Simplify/Convert into Slope-intercept

$y = - \frac{3}{4} (x - 4) + 3 \\ y = - \frac{3}{4} x + \frac{12}{4} + 3 \\ y = - \frac{3}{4} x + 3 + 3 \\y = - \frac{3}{4} x + 6$

<h3>Answer</h3>

 $\large \boxed {y = - \frac{3}{4} x + 6}$ 

6 0

2 years ago

Find the percent of decrease from 280 to 210. Round to the nearest tenth of a percent, if necessary.

Vlada [557]

To find the decreased percentage,here's what we can do:
$\frac{originl \: value - new \: value}{originl \: value} \times 100\%$

In this case,the eqaution would be:
$\frac{280 - 210}{280} \times 100\% \\ = \frac{70}{280} \times 100\% \\ = \frac{1}{4} \times 100\% \\ = 25\%$
Hope it helps!

5 0

3 years ago

If the measurement of Angle 6 = 50 degrees, then the measurement of Angle 3 = 50 degrees

olga_2 [115]

Answer:

True

Step-by-step explanation:

angle 3 and 6 are alternate angles.

alternate angles have the following characteristics:

1. they are inside the parallel lines

2. they are on opposite sides of the transversal

3. they are EQUAL

another example of alternate angles is angle 4 and angle 5

4 0

2 years ago

Read 2 more answers

The difference of two numbers is 15.The larger number is 1 more than 3 times the smaller number. Find the two numbers

lisabon 2012 [21]

Answer:

Step-by-step explanation:

2) let the two numbers be x and y

x-y =15

(taking x to be big)

x = 3 (y)+1

i.e. x-3y =1

Subtracting we get

2y =14 or y =7

x =15+7 =22

Larger number is 22 and smaller number is 7

-----------------------------------

Alysha is 2 years younger than Bryce/

Let Alysha be x years old then Bryce would be x+2

Sum of their ages

=x+x+2 =28

2x+2 =28

2x=26

x=13

Hence Alysha is 13 years old and Bryce 14 years old.

5 0

3 years ago

WILL MARK BRAINLIEST! PLEASE HELP!

vodomira [7]

The formula y = mx + b sometimes appears with

different symbols.

For example, instead of x, we could use the

letter C. Instead of y, we could use the letter F.

Then the equation becomes

F = mC + b.

All temperature scales are related by linear

equations. For example, the temperature in

degrees Fahrenheit is a linear function of degrees Celsius.

Water freezes at: 0°C, 32°F

Water Boils at: 100°C, 212°F

Hope this helps!

~ Kana ^^

6 0

3 years ago