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3 years ago

Write an equation of a line that has a slope of -2 and passes through the point (1,4)

Mathematics

2 answers:

Rudik [331]3 years ago

4 0

Answer:

The equation (in y=mx+b form) would be y= -2x+6

Step-by-step explanation:

The slope is given from the start, which is -2, so you would plug that in for m to make the equation y=-2x but this IS NOT YOUR ANSWER

I was able to graph it, although there are multiple ways to do this.

Next you have to find the y-intercept. You use your coordinate (1,4) and go up twice (positive) (1,6) and go to the left (negative) to get the point (0,6) giving you your intercept.

Plugging it into the equation for b, your equation would now be y= -2x + 6 giving you your final answer

RoseWind [281]3 years ago

3 0

Answer:

y = -2x + 6

Step-by-step explanation:

Since we already have the slope we just need to find the y-intercept.

To do that just plug in the point you were given. (1,4)

4 = -2(1) + b (b represents the y-intercept)

4 = -2 + b (add 2 on both sides)

6 = b

y = -2x + 6 is the equation

Hope this helps!!

other topics will help in such videos;

Bias

Conjunction

Area Of Triangle Formula

Cayley Hamilton Theorem

Statistics

Surface Area of Cuboid

Boolean Algebra

Quadrant

Continuous Integration

Real Numbers

7 0

3 years ago

Seth’s father is thinking of buying his son a six-month movie pass for $40. With the pass, matinees cost $1.00. If matinees are

Ymorist [56]

Answer:

In order for it to benefit his father to buy the pass Seth have to attend the movies for 11 times.

Step-by-step explanation:

Given:

Cost of movie pass = $40

Cost per matinees with pass = $1.00

Cost per matinees without pass = $3.50

To Find:

Number of times must Seth attend in order for it to benefit his father to buy the pass = ?

Solution:

Let x be the number of times he wants to visit

To profit his father

The number of visits without pass = the number of visits with passin the cost of $3.50

Then, without pass if he visits for x times then the cost will be = 3.50x

Also with pass, the number of times he can visit the pass = $\frac{40}{3.50}$

then

$\frac{350 x}{3.50} = \frac{40}{3.50}$

$3.50x = 40$

$x = \frac{40}{3.50}$

x = 11.42

x = 11 (approx)

3 0

4 years ago

a group of 19 students want to see the show at the planetarium. Ticket cost $11 for each student who is a member of the planetar

Illusion [34]

X = number of students who are members.
19-x is the number of people who are not members. x number of people paid $11 for tickets and (19-x) number of people paid $13.$11x+$13(19-x)=$209 for the total cost of the tickets.
$11x+ $247-$13x=$209 $11x-13x = $209 - $247

$-2x = $-38

divide -2 by both sides

x=19, meaning that all of the students are members.

7 0

3 years ago

If: AC=26, BC=7x + 2, and AB = 9x + 8 Find BC!

Bond [772]

Answer:

BC = 9

Step-by-step explanation:

Given AC = 26

BC=7x + 2

AB = 9x + 8

Since BC and AB are two parts of AC. Therefore we can write in the following form.

AC = AB +BC

Now insert the given values in the above formula.

26 = 9x + 8 + 7x + 2

26 = 16x + 10

26 – 10 = 16x

16 = 16x

x = 16 / 16

x = 1

Now insert x = 1 in BC=7x + 2

BC = 7 (1) + 2

BC = 9

7 0

3 years ago