All categories

3 years ago

How can I turn -4/slope ,0/y-intercept into a slope intercept form equation

Mathematics

1 answer:

Rainbow [258]3 years ago

4 0

Answer:

y = - 4x

Step-by-step explanation:

Here, it is given that the slope of a line is - 4 and the y-intercept is 0.

Now, if the slope of a straight line is m and the y-axis intercept is c, the by slope-intercept form the equation of the straight line is given as

y = mx + c ......... (1)

Therefore, in our case m = - 4 and c = 0 and using equation (1), the equation of the given straight line is

y = - 4x (Answer)

You might be interested in

Which of the triangles described in the table is a right triangle?.

Sergeu [11.5K]

A right triangle is a triangle that consist of an angle which one angle is 90degree and the remaining angle would be less than to 90 and the best answer to your question based on my calculation i think the answer is A.

5 0

3 years ago

At best buy they have a 42” TV that sells for $1250 and is on sale for 15% and sales tax is 6.5%. What is the final cost? (Hint:

CaHeK987 [17]

Answer:

pre-tax = 1,062.50

after taxes = 1,131.56

6 0

3 years ago

What are the coordinates of the orthocenter of △JKL with vertices at J(−4, −1) , K(−4, 8) , and L(2, 8) ?

PilotLPTM [1.2K]

ANSWER

The orthocenter is $(-4,8)$

EXPLANATION

The orthocenter is the point of intersection of all the altitudes of a triangle.

If it is a right angle triangle then the orthocenter is the point at which the right angle is made.

If it is not a right angle triangle, then you have to find the equations of any two of the altitudes and solve simultaneously.

So you must first check to see if it is a right angle triangle that way you do not have to do bunch work.

The given triangle has vertices $J(-4,-1)$ , $(-4,8)$ , and $L(2,8)$ .

$Slope_{JK}=\frac{8--1}{-4--4}$

$Slope_{JK}=\frac{8+1}{-4+4}$

$Slope_{JK}=\frac{9}{0}$

Since the denominator is zero, the slope is undefined.

If the slope of a straight line is undefined, then that line is parallel to the y-axis. In other words, it is a vertical line.

$Slope_{JL}=\frac{8--1}{2--4}$

$Slope_{JL}=\frac{8+1}{2+4}$

$Slope_{JL}=\frac{9}{6}$

$Slope_{JL}=\frac{3}{2}$

$Slope_{KL}=\frac{8-8}{2--4}$

$Slope_{KL}=\frac{0}{2+4}$

$Slope_{KL}=\frac{0}{6}$

$Slope_{KL}=0$

if a straight line has a slope of zero, that line is parallel to the x-axis or it is horizontal.

From the slopes we can see that side KL of the triangle is horizontal and side JK is vertical. This two sides will meet at right angles at K.

See graph.

Therefore the coordinates of K, $(-4,8)$ is the orthocenter of the given triangle.

3 0

3 years ago

Suppose you are sending instructions to a factory for a set of customized triangles. You are only allowed to give them three pie

zhenek [66]

Answer:

There is something called "criteria of congruence for triangles".

Those criteria say that, with some data of the triangles, we can know if the triangles are equivalent.

For example one of the criteria is SSS.

Side-side-side.

This means that all the triangles with equal side length for all their sides are equivalent.

So if the information that we give to the factory is the side length of the 3 sides of the triangle, the triangle will be well defined.

Following those criteria, the other 2 options can be:

SAS

Side-Angle-Side

(so you can give the length of two sides and the angle between them)

ASA

Angle-Side-Angle.

(You can give the value of two angles and the length of the side between those two angles)

5 0

3 years ago

The perimeter of an equilateral triangle is at most 72, what would this be as an inequality?

Reptile [31]

at most is either that number or less

so x<=72 would be the inequality

6 0

4 years ago