What is the slope of a line parallel to the line with equation 5x + 3y = 7?

Mathematics

1 answer:

weeeeeb [17]3 years ago

3 0

Answer:

-5/3

Step-by-step explanation:

Parallel lines are lines which have the exact same slope but different y-intercepts. We can find the slope by converting to slope-intercept form, y=mx+b from standard form.

We convert by using inverse operations to isolate y.

5x+3y=7

5x-5x+3y=7-5x

0x+3y=-5x+7

3y=-5x+7

$\frac{3y}{3} =\frac{-5x+7}{3} \\y=\frac{-5}{3}x+\frac{7}{3}$ .

The slope is -5/3. SInce parallel lines have the same slope, the slope for a parallel line will be -5/3.

You might be interested in

What is 16.4 1.64 1.6 16.099 from least to greatest

11Alexandr11 [23.1K]

The order in least to greatest is

Step-by-step explanation:

1.6, 1.64, 16.099, 16.4

7 0

3 years ago

Will give brainless whatever that means. Due today. The radius of a basketball is 10 inches, and the radius of a soccer ball is

Helen [10]

9514 1404 393

Answer:

1135.2 in³

Step-by-step explanation:

The volume of a sphere is given by the formula ...

V = (4/3)πr^3

The difference in volume will be ...

∆V = Vb -Vs = (4/3)π(10^3 -9^3) = (4/3)π(1000 -729) = 4/3π·271 . . . cubic in

∆V ≈ 1135.2 . . . cubic inches

The basketball has a volume that is 1135.2 cubic inches greater.

_____

If you use 3.14 for π, your answer is 1134.6 in^3.

7 0

3 years ago

The midpoint of MN is point P at (–4, 6). If point M is at (8, –2), what are the coordinates of point N?

tester [92]

The midpoint of a line segment is the average of the endpoint's coordinates, mathematically:

mp=((x1+x2)/2, (y1+y2)/2)

In this case:

(-4,6)=((8+x)/2, (-2+y)/2)

(-8,12)=((8+x),(y-2))

(-16, 14)=(x,y)

8 0

3 years ago

Read 2 more answers

The garden is 6 feet wide and has a diagonal length of 10 feet what is the length in feet?

BigorU [14]

Answer:

Step-by-step explanation:

$10^{2}$ - $6^{2}$ = 100 - 36 = 64