Which two lines are parallel?

Mathematics

1 answer:

Masteriza [31]3 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

A rock climber averages 12 3/5 feet per minute. Write and solve an equation to find how many feet x the rock climber climbs in 3

Nikolay [14]

Set up a proportion. If 12 3/5 feet can be traveled in one minute, then make that a fraction. 12 3/5 over one equals X over 30. Cross multiply 12 3/5×30 equals 1 X and solve.

6 0

3 years ago

The perimeter of a certain is 4 yards. find the area of the square in square feet.

Phoenix [80]

1 yard=3 feet
4yards= 4•3= 12 feet

Perimeter of a square = 4•side = 12 so side of the square is 3 feet

Area of square = 3•3=9 Square feet

4 0

3 years ago

535.29 = 400(1 + r) 5

joja [24]

Answer:

Step-by-step explanation:

$(1+r)^5=\frac{535.29}{400} \\1+r=(\frac{535.29}{400}) ^{\frac{1}{5} } \\1+r \approx 1.06\\r \approx .06$