All categories

3 years ago

The line passes through the point (4,2) and has slope of -1

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

3 0

Answer:

y-2 = -1(x-4)

Step-by-step explanation:

We know the slope and a point . We can use point slope form

y-y1 = m(x-x1)

y-2 = -1(x-4)

If we want the equation in slope intercept form

Distribute the -1

y-2 = -x+4

Add 2 to each side

y-2+2 = -x+4+2

y = -x+6

You might be interested in

01.05 what is the slope intercept form equation of the line that's passing through (1,3) and (3,7)

Butoxors [25]

Hello!

To find the slope-intercept form equation of the line that passes through the two points is found by first, calculating the slope using the slope formula and substitution, and secondly, finding the y-intercept of the equation through substitution.

Remember, slope-intercept form is written as: y = mx + b, where m is the slope and b is the y-intercept.

1. Find the slope

The slope formula is: $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ . To use this formula, you need two points and also, you need to assign these points to $x_{1}$ , $x_{2}$ , $y_{1}$ , and $y_{2}$ .

In this case, $x_{1}$ and $x_{1}$ is assigned to the ordered pair (1,3), while $x_{2}$ and $y_{2}$ is assigned to (3, 7). After assigning these points, you can substitute the pairs into the formula and simplify.

$\frac{7-3}{3-1} =\frac{4}{2} = 2$

The slope of these two points is 2.

2. Find the y-intercept

To find the y-intercept, you substitute an ordered pair into the slope-intercept equation with the slope that was just calculated. We can use either ordered pair because it will result in the same y-intercept.

y = 2x + b (substitute)

3 = 2(1) + b (simplify)

3 = 2 + b (subtract 2 from both sides)

1 = b

The y-intercept of the two points is (0, 1).

With the necessary values to complete the equation, we can write the final equation.

The slope-intercept form equation of the line that passes through the points (1, 3) and (3, 7) is y = 2x + 1.

7 0

2 years ago

Solve the equation : |x| - 6 = 4

wlad13 [49]

Answer:

x=10

Step-by-step explanation:

10-6 is equal to 4. The absolute value of 10 is 10. Therefore, x=10. Brainliest?

6 0

2 years ago

Madeline is saving up to buy a new jacket. She already has $40 and can save an

Vesna [10]

I trust those links^

3 0

2 years ago

6<br> The quotient of 20 and 47.

Semenov [28]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Help, this is a khan question so you may have done it before

Readme [11.4K]

Answer:

Eric, 9.8 meters.

Step-by-step explanation:

Use the distance formula with the given coordinate and each of the other coordinate.

$\sqrt{(10-3)^{2}+(8-2)^{2} }$ Brooke

$\sqrt{(-6-3)^{2}+(6-2)^{2} }$ Eric

$\sqrt{(8-3)^{2}+(-6-2)^{2} }$ Cam

You'll see that Eric kicked the furthest distance with a distance of 9.8 meters.

Brooke kicked 9.2 meters and Cam kicked 9.4 meters. What does the distance formula really mean? When you solve for the distance between two points, you're really just creating a triangle between those two points, and you're actually looking for the hypotenuse. The slope that intersects your two points is the hypotenuse of the triangle you created.

8 0

2 years ago