All categories

2 years ago

Write the equation of the line passing through the point (6,-9) with slope -5/6.

Mathematics

1 answer:

Brilliant_brown [7]2 years ago

3 0

Answer:

The equation is y = -5/6 x-4

Step-by-step explanation:

The equation of a line in slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -5/6 x+b

Substitute in the point

-9 = -5/6(6) +b

-9 = -5+b

Add 5 to each side

-4 = b

The equation is y = -5/6 x-4

You might be interested in

Two basketballs are thrown along different paths. Determine if the basketballs’ paths are parallel to each

Paul [167]

Answer:

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

Step-by-step explanation:

Remember that:

Two lines are parallel if their slopes are equivalent.
Two lines are perpendicular if their slopes are negative reciprocals of each other.
And two lines are neither if neither of the two cases above apply.

So, let's find the slope of each equation.

The first basketball is modeled by:

$\displaystyle 3x+4y=12$

We can convert this into slope-intercept form. Subtract 3<em>x</em> from both sides:

$4y=-3x+12$

And divide both sides by four:

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

So, the slope of the first basketball is -3/4.

The second basketball is modeled by:

$-6x-8y=24$

Again, let's convert this into slope-intercept form. Add 6<em>x</em> to both sides:

$-8y=6x+24$

And divide both sides by negative eight:

$\displaystyle y=-\frac{3}{4}x-3$

So, the slope of the second basketball is also -3/4.

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

3 0

2 years ago

During the regular season, a National Basketball Association team plays 82 games and a National Football League team plays 16 ga

Naddika [18.5K]

Answer:

NFL teams play 16 regular season games each year, NHL and NBA teams play 82, while MLB teams play 162-could invalidate direct comparisons of win percentages alone. As an example, the highest annual team winning percentage is roughly 87% in the NFL but only 61% in MLB and part (but not all) of that difference is undoubtedly tied to the shorter NFL regular season

5 0

2 years ago

The Cost of producing n items is given as C = 5 + 2n, where 5 is initial cost and 2 is a cost per item. Profit is given as P = 3

aleksandrvk [35]

P=5 and initial to the 3 price

4 0

2 years ago

Help ASAP and thank you

Darina [25.2K]

Answer:

behebudbejehenevebehi28

4 0

3 years ago

I need help

Ilia_Sergeevich [38]

Answer:

310

Step-by-step explanation:

A circle is 360 degrees

50 +x = 360

x = 360-50

x = 310

3 0

2 years ago

Write the equation of the line passing through the point ​(​6,-9​) with slope -5/6.

Write the equation of the line passing through the point (6,-9) with slope -5/6.