Which two lines are parallel?

Mathematics

1 answer:

Masteriza [31]2 years ago

6 0

Answer:

3x + y = -2
2y = -6x – 8

Step-by-step explanation:

When the equations are written in the same form, the ratio of x coefficient to y coefficient is the same for parallel lines.

These equations in the same form are ...

3x +y = -2
-6x +2y = 4
6x +2y = -8

The first and last of these equations have a ratio of x-coefficient to y-coefficient of ...

(x-coefficient)/(y-coefficient) = 3/1 = 6/2

so the lines are parallel.

The second equation has a ratio that is the opposite of this.

<em>Alternate approach</em>

You can put each equation into slope-intercept form (solve for y). The x-coefficient is then the slope of the line. Parallel lines** have equal slopes.

y = -3x -2 **
y = 3x +2
y = -3x -4 **

_____

I find a graphing calculator to be a big help for many problems involving equations and their characteristics.

You might be interested in

EASY MATH!!! The formula F=9/5C+32 is used to convert Celsius to Fahrenheit temperature. A. Solve the formula for C B. The boili

puteri [66]

F=\dfrac{9}{5}C+32\\\\A.\\\dfrac{9}{5}C+32=F\ \ \ |-32\\\\\dfrac{9}{5}C=F-32\ \ \ |\cdot\dfrac{5}{9}\\\\C=\dfrac{5}{9}(F-32)

B.\\F=212\to C=\dfrac{5}{9}(212-32)=\dfrac{5}{9}\cdot180=100\\\\212^oF=100^oC

C.\\F=80\to C=\dfrac{5}{9}(80-32)=\dfrac{5}{9}\cdot48\approx26.7\\\\80^oF\approx26.7^oC

4 0

3 years ago

Jada was using square stickers with a side length of 3/434 inch to decorate the spine of a photo album. The spine is 10 1/21012

Yuki888 [10]

Answer: The number of stickers she used to cover the length of the spine = 14.

Step-by-step explanation:

Given: The length of spine = $10\dfrac12$ inches = $\dfrac{21}{2}$ inches

Length of each sticker = $\dfrac34$ inch

If she laid the stickers side by side without gaps or overlaps, the number of stickers she use to cover the length of the spine = $\text{(Length of spine)}\div (\text{Length of each sticker})$