All categories

2 years ago

Write an equation of the line passing through the points (4,6) and (-2, - 18).

Mathematics

1 answer:

olga_2 [115]2 years ago

4 0

Answer:

y = 4x – 10

Step-by-step explanation:

slope formula: $m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

point-slope formula: $y-y_{1}=m\left(x-x_{1}\right)$

Use slope formula and plug in your numbers: $m = \frac{-18-6}{-2-4 }$
Solve for slope $m = 4$
Use the point-slope formula to solve for the equation: $y-6=4\left(x-4\right)$
Solve and find equation: $y=4x-10$

Note: When given two points you only need to pick one for the point-slope formula! Best to choose the positive one so you don't have to deal with the negatives!

Hope this helps! Please give Brainliest!

You might be interested in

What is the hypothesis in this conditional statement?

nexus9112 [7]

The answer is
A.
Hope This Helps

8 0

3 years ago

how do you write the equation of a line in slope-intercept form when given two points on the line? the two points are (-4,4) and

Feliz [49]

Y=7x+ 32 you find slope and y intercept

6 0

3 years ago

Would my answer choice be correct? ( There is a photo)

Leni [432]

Answer:

yes I believe so. best of luck

8 0

2 years ago

The cost of 7 chairs and 2 tables is equal.If the cost of 6 chairs and 5 tables is 10575, find the cost of 12 chairs.

Igoryamba

Answer:

5400

Step-by-step explanation:

Let x represent the cost of a chair and y represent the cost of a table. We can use this to set up a system of equations:

7x=2y

6x+5y=10575

We can solve this system using substitution.

Start by rewriting the first equation in terms of x.

$7x=2y\\\text{Divide both sides by 7}\\x=\frac{2}{7}y$

Substitute this into the second equation:

$6(\frac{2}{7}y)+5y=10575\\\frac{12}{7}y+5y+10575\\\frac{12}{7}y+\frac{35}{7}y=10575\\\frac{47}{7}y=10575$

Multiply both sides by 7

$47y=74025$

Divide both sides by 47

$y=1575$

This means...

$7x=2(1575)\\7x=3150$

Divide both sides by 7

$x=450$

One chair costs 450. Now, multiply this number by 12 to find the cost of 12 chairs.

$450*12=5400$

12 chairs cost 5400.

7 0

2 years ago

Jacob distributed a survey to his fellow students asking them how many hours they spent on the Internet in the past day. He also

Anna35 [415]

The linear equation B. y = -x +7.5 best describes the given model. The mood rating for a student that spent 5.5 hours online would be 2.

Step-by-step explanation:

Step 1; We plot the points that fall on the line and that lie on an exact x or y coordinate. The following 4 points are plotted (0.5, 7), (2, 5.5), (2.5, 5) and (3.5, 4). We substitute the values of x in the given equations to see which best describes the model.

Step 2; When y = x + 7.5, we get the coordinates as (0.5, 8), (2, 9.5), (2.5, 10) and (3.5, 11).

When y = -x + 7.5, the coordinates are (0.5, 7), (2, 5.5), (2.5, 5) and (3.5, 4).

When y = $\frac{-1x}{2}$ + 7.5, the coordinates are (0.5, 7.25), (2, 6.5), (2.5, 6.25) and (3.5, 5.75).

So equation 2 has the closest values to the actaul graph.

Step 3; By substituting x = 5.5, y = -(5.5) + 7.5 = 7.5 - 5.5 = 2.

8 0

3 years ago