All categories

3 years ago

What is the equation of the line that passes through the point (1,3) and has a slope of -- 32

Mathematics

1 answer:

Korolek [52]3 years ago

5 0

Answer:

The equation of the line that passes through the point (1,3) and has a slope of -32.

$y=-32x+35$

Please check the attached graph too.

Step-by-step explanation:

Given

Point (1, 3)

The slope m = -32

The point-slope form:

$y-y_1=m\left(x-x_1\right)$

where

m is the slope of the line

(x₁, y₁) is the point

In our case:

m = -32

(x₁, y₁) = (1, 3)

substituting m = -32 and (x₁, y₁) = (1, 3) in the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

$y-3=-32\left(x-1\right)$

Add 3 to both sides

$y-3+3=-32\left(x-1\right)+3$

Simplify

$y=-32x+35$

Therefore, the equation of the line that passes through the point (1,3) and has a slope of -32.

$y=-32x+35$

Please check the attached graph too.

You might be interested in

Need answer for 8th question ASAP

Ainat [17]

In this problem, we need to use squaring method.

5² means 5 × 5

5² = 25

12² means 12 × 12

12² = 144

So, simplify these statements:

5² × 12²

25 + 12² (Simplify 5², which means 5 × 5)

25 + 144 (Simplify 12², which means 12 × 12)

We get the answer:

25 + 144 =

<em>Hope this helps :)</em>

4 0

2 years ago

Today, everything at a store is on sale. The store offers a 20% discount.

kotykmax [81]

Answer:

a) $19.2

b) 0.8x

c) $17.5

Step-by-step explanation:

1. We want to find the discount price given the regular price

The discount is 20%

so the discount price will be;

24 - 20% of 24

24 - 4.8 = $19.2

b) We have this as;

x - (20% of x)

x - 0.2x = 0.8x

c) let the original price be x

x - 20% of x = 14

x - 0.2x = 14

0.8x = 14

x = 14/0.8

x = $17.5

6 0

3 years ago

You roll a fair 6-sided die. What is the Possibility roll greater than 6?

larisa [96]

Answer:

Since there are six possible outcomes, the probability is 1/6.

7 0

3 years ago

Read 2 more answers

A number cube is rolled once. Answer these questions below?

Yakvenalex [24]

Answer:

1/2

Step-by-step explanation:

1) the sample space is 1 through 6

2) numbers less than 4 on the number cube 1, 2, and 3 3#s

total amount of #s is 6

probability = numbers less than 4/total amount of #s:

3/6

1/2

6 0

3 years ago

The perimeter of a rectangle is 42 inches, and its area is 110 square inches. find the length and width of the rectangle.

lorasvet [3.4K]

$p = 2w + 2l$ $p = 42$
$a = l * w$ $a = 108$

You want to make either the length or width variable (I chose the width variable to be by itself. It doesn't matter) by itself by:

Divide both sides by 2.
(p) ÷ 2 = (2w + 2l) ÷ 2
$2's$ $cancel$ $out$
$\frac{p}{2} = w + l$

Subtract both sides by either length or width depending on what variable you chose to make by itself (in this case I subtracted the length variable because I wanted the width variable by itself).
$\frac{p}{2} - l = w + l - l$
$l's$ $cancel$ $out$
p/2 - l = w

$a = l * w$

You replace w with the equation above p/2 - l = w
$a = l( \frac{p}{2} - l)$

Multiply out the L.
$a = \frac{p}{2}l - l^{2}$

Plug in all your numbers a = 110 and p = 42
$110 = \frac{42}{2}l - l^{2}$
$110 = 21l - l^{2$

Move everything to the left side so $l^{2}$ would be positive (makes the equation easier when $l^{2}$ is positive).
$l^{2} - 21l + 110 = 0$

Factor.
$(l -10)(l-11) = 0$

Make each parenthesis set equal to 0.
$l-11=0$ $l-10=0$

Add.
$l = 11$ $l = 10$

By doing this you solve for both the width and length so the answer is:
w = 11 L = 10

8 0

4 years ago