All categories

2 years ago

A line passes through the point (-8, -9) and has a slope of

Mathematics

1 answer:

Umnica [9.8K]2 years ago

7 0

Answer:

y = -5/4x -19

Step-by-step explanation:

Hi there!

We are given that a line passes through (-8, -9), and has a slope of -5/4

We want to write the equation of the line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept.

As we're already given that the slope of the line is -5/4, we can immediately plug it into the equation:

y=-5/4x+b

Now we must find b

As the equation passes through the point (-8, -9), (meaning that if we plug the values of (-8, -9) into the equation, we should be getting a true statement), we can use it to solve for b

Substitute -8 as x and -9 as y into the equation:

-9=-5/4(-8)+b

Multiply

-9=10+b

Subtract 10 from both sides

-19=b

Substitute -19 as b

y = -5/4x -19

Hope this helps!

You might be interested in

Find the volume of a cylinder with a diameter of 10 inches and a height of 20 inches. Use 3.14 for π.

Snowcat [4.5K]

<span>Lets find the volume of a cylinder with a diameter D=10 inches and lenght L= 20 inches. First we need to notice that the diameter is twice the size of the radius: D=2r. Then we write the equation for the volume of the cylinder. it is the base times the height: V=pi*r^2 * L. Now we input the nubmers in the equation: V=3.14*(D/2)^2 * L where r=D/2=5 inches and after calculating we get: V=1570 inches^3</span>

6 0

3 years ago

Read 2 more answers

Based only on the information given in the diagram, which congruence

romanna [79]

<h3>1 Answer: Choice D) SAS</h3>

=================================================

Explanation:

LA stands for Leg Angle. More specifically, the angle is an acute angle. This theorem only works for right triangles. We see that ED = LK which is one pair of congruent leg segments. So that takes care of the L part of LA. However, we don't know anything about the acute angles. We don't know if angle E = angle L, or if angle F = angle M, or something along those lines. We need angle markers to tell us or not.

In short, we only have half the info needed for LA, so we must cross choice A off the list.

----------------

HA stands for hypotenuse angle, or hypotenuse acute angle, and this rule only applies for right triangles. We don't know anything about the hypotenuse lengths if they are the same or not.

Similar to choice A, we don't know anything about the acute angles either.

Those two facts mean we must cross off choice B.

----------------

AAS stands for Angle Angle Side. The order is important because the side is not between the angles. The diagram only shows one pair of angles that are congruent to one another. That pair being the 90 degree angles indicated with the square marker. We don't have another pair of angles, so we cannot use AAS.

Cross choice C off the list.

-----------------

We can use SAS because we have two pairs of congruent sides and one pair of congruent angles.

The congruent sides are

ED = LK (double tickmarks)
DF = KM (single tickmarks)

That takes care of the two "S"s of "SAS". The "A" would be those two right angles which are congruent to one another. The angles are between the congruent sides which is important. Recall that SSA is not a valid congruence theorem.

So that's why choice D is the only answer.

-----------------

Side note: We could use the LL theorem, where L stands for leg, since we are given two pairs of congruent legs for each triangle. Like LA and HA, this only applies to right triangles. LL is a special case of SAS. However, LL isn't listed so we'll just be sticking with SAS as the only answer.

8 0

3 years ago

Graph the function -2x+5y=10

loris [4]

An equation of the form ax+by+c=0, where x, y are variable, and a, b, c are numbers, is called a "linear equation"

the reason we call it linear, is that all solutions (x, y) to this equation, when plotted in the x-y axis, form a line.

To draw this line, 2 points are enough, that is 2 solutions (x, y) of the equation.

-------------------------------------------------------------------------------------------------

-2x+5y-10=0 is a linear equation (a=-2, b=5, c=-10)

to find 2 solutions, we set x or y any value we want, and solve for the other

for example:

let x=0,

then

-2x+5y-10=0 becomes 5y-10=0, so y=2

this gives us the solution (0, 2)

another example; set y=0

then -2x+5y-10=0 becomes -2x-10=0; -2x=10 so x=-5

thus another solution is (-5, 0)

Draw these 2 points, and join them with a line, as shown in the figure.

6 0

3 years ago

In a game, a player earns 100 points for each question answered correctly and earns -30 points for each question answered incorr

REY [17]

The general expression is 130 x - 600 and total points scored by the player is 1220

A) Let the number of correctly answered questions be x.

∴ Number of incorrectly answered questions will be 20 - x.

+ 100 points is awarded for each question answered correctly while -30 points is awarded for each question answered incorrectly.

Thus, the general equation becomes

= 100x - (20 - x)(-30)

= 100x +30x - 600

= 130x - 600

Thus the general expression becomes 130 x - 600

B) The player answers 14 questions correctly, thus x = 14

Substituting the value of x =14 in the general equation we get,

= 130(14) - 600

= 1820 - 600

= 1220.

Thus the total points scored by the player will be 1220

Learn more about Linear Equations here :

brainly.com/question/14989092

#SPJ1

6 0

11 months ago

Use synthetic division to solve (2x^3+4x^2-35x+15) divided by (x-3) What is the quotient?

Salsk061 [2.6K]

Answer:

Step-by-step explanation:

The only thing you need to watch carefully is the divisor which in this case is x - 3. The divisor, in synthetic division, is the number that will make the binomial go to 0.

x - 3 =0

x = 3

So the divisor is 3.

3 || 2 4 -35 15

6 30 -15

======================

2 10 -5 0

So the quotient is

2x^2 + 10x - 5 with no remainder

7 0

3 years ago

Read 2 more answers