Determine if the given lines are parallel, perpendicular, or neither.

Mathematics

1 answer:

Leni [432]3 years ago

4 0

Answer:

The lines are parallel.

Step-by-step explanation:

Given the lines

$-2x-3y=9$

$4x+6y=24$

Writing the equations in the slope-intercept form

$y=mx+b$

where m is the slope and b is the y-intercept

$-2x-3y=9$

$y=-\frac{2}{3}x-3$

Thus, the slope = m₁ = -2/3

also

$4x+6y=24$

$y=-\frac{2}{3}x+4$

Thus, the slope = m₂ = -2/3

We know that parallel lines have equal slopes

m₁ = m₂

Thus, the lines are parallel.

You might be interested in

HELP ASAP! A plumber charges $110 per hour. If h represents the number of hours that he works, which domain values are relevant

Sedbober [7]

First you need to figure out how many hours he has been working for you, lets say h = 1 then you answer would be both A and B, if it is h = 2 then your answer is C, B, A, and maybe D (Because I am not really sure what D means)

6 0

4 years ago

Read 2 more answers

For #36, why is the answer 4? Plz explain.

luda_lava [24]

I am getting 7 as the value of b. I do not believe 4 is a correct answer!

Here's why:

General equation of a circle in the xy plane

$(x-c_x)^2+(y-x_y)^2=r^2$

with $c_x\,\,\mbox{and}\,\,c_y$ being the x,y coordinates of the center.

The center point can be determined from the two endpoints of the diameter because the line segment is horizontal, so we just find the center of the x coordinates of the two points:

$c_x = -2+\frac{|8-(-2)|}{2}=3\\c_y = 3$