All categories

3 years ago

Write the equation in slope-intercept form of the line that has a slope of 2 and contains

Mathematics

1 answer:

mina [271]3 years ago

8 0

Equation in slope-intercept form is y = 2x - 6

Step-by-step explanation:

Step 1: Given slope of the line, m = 2. Form an equation y = mx + b

⇒ y = 2x + b ---- (1)

Step 2: The line passes through the point (4,2). So it will satisfy the equation. Find b by substituting x = 4 and y = 2.

⇒ 2 = 2 × 4 + b = 8 + b

⇒ b = -6

Step 3: Form the slope-intercept equation.

⇒ y = 2x - 6

You might be interested in

Write the linear equation that goes through the points (2, 20) and (-3, 8). *

Lyrx [107]

Answer:

2.4x+15.2

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

If a truck averages 12 miles to the gallon, how many pounds of carbon dioxide are emitted into the atmosphere when the truck tra

77julia77 [94]

Answer: 278.30 pounds (if the gasoline does not contain ethanol)

317.12 pounds (if the gasoline does contain ethanol)

Step-by-step explanation:

If the truck averages 12 miles per gallon, then in 170 miles it consumes:

170mi/12mi = 14.17 gallons.

We know that for one gallon consumed, the carbon dioxide emitted into the atmosphere is 19.64 pounds. (assuming it does not contain ethanol)

Then for 14.17 gallons consumed, we have a emission of:

14.17*19.64 pounds = 278.30 pounds

I the gasoline contains ethanlol, for a gallon the emiision is around 22.38 pounds.

In this case the total emission is:

14.17*22.38 pounds = 317.12 pounds

3 0

4 years ago

I need help with a prople on my math for 8 grade it is y = -8x - 2

Nadusha1986 [10]

Answer:

M=8 Y=-2

Step-by-step explanation:

this is the slope and b

8 0

3 years ago

Equation:<br><img src="https://tex.z-dn.net/?f=5%20%2B%205%20%3D%205x%20%2B%205%20-%202" id="TexFormula1" title="5 + 5 = 5x + 5

dem82 [27]

Answer:

x = $\frac{7}{5}$

Step-by-step explanation:

To solve for x, we need to isolate it [get it alone on one side]

We should start by simplifying (combining the like-terms of our equation):

5 + 5 = 5x + 5 - 2

10 = 5x + 3

- 3 - 3 (subtract 3 from both sides to isolate x)

7 = 5x

÷5 ÷5 (divide both sides by 5 to find "1"x)

$\frac{7}{5}=x$

So, x = $\frac{7}{5}$

(x = 7/5)

hope this helps!!

7 0

2 years ago

Read 2 more answers

Two kinds of perfume are packaged in square pyramidal bottles. Perfume A is packaged in a bottle with a base of 3 inches square

kondor19780726 [428]

Answer:

The bottle of perfume A contains more glass

Step-by-step explanation:

we know that

The surface area of the square pyramid is equal to the area of the square base plus the area of its four triangular faces

step 1

Find the surface area of Perfume A

$SA=3^{2} +4[\frac{1}{2}(3)(2.5)]=24\ in^{2}$

step 2

Find the surface area of Perfume B

$SA=2.5^{2} +4[\frac{1}{2}(2.5)(3)]=21.25\ in^{2}$

step 3

Compare the surface areas

$24\ in^{2}>21.25\ in^{2}$

therefore

The bottle of perfume A contains more glass

6 0

3 years ago