All categories

3 years ago

Write the slope-intercept form of the line that has a slope of 2 and intersects the line, 2x - 3y = 6 at x = 3.

1 answer:

7 0

To write the equation of a line, we need 1) a point on the line 2) it's slope For the point, we just substitute in the equation of the line intersecting it with x=3 (because they share this point) Therefore, 2*3-3y=6 --> That gives y=0 Then the point is (x1,y1)=(3,0) We already have the slope : m=2 Now we should use this relation for the required line equation (y-y1) / (x-x1) = m Then (y-0) / (x-3) = 2 Then y = 2*x - 6 And that is the required form where 2 is the slope and -6 is the intercept

You might be interested in

Find the distance between the two points in simplest radical form.<br> (-9,8) and (-3, -1)

dmitriy555 [2]

Answer:

The distance between (-9, 8) and (-3, -1) will be:

$\:d=3\sqrt{13}$ units

Step-by-step explanation:

Given the points

(-9, 8)

(-3, -1)

Finding the distance between (-9, 8) and (-3, -1)

$d\:=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(-3-\left(-9\right)\right)^2+\left(-1-8\right)^2}$

$=\sqrt{\left(-3+9\right)^2+\left(-1-8\right)^2}$

$=\sqrt{36+81}$

$=\sqrt{117}$

$=3\sqrt{13}$ units

Therefore, the distance between (-9, 8) and (-3, -1) will be:

$\:d=3\sqrt{13}$ units

7 0

2 years ago

Find the coordinates of the intersection of the diagonals of the parallelogram with the vertices W(−2, 5), X(2, 5), Y(4, 0),

emmasim [6.3K]

Using the midpoint formula, the coordinates of the intersection of the diagonals of the parallelogram is: (1, 2.5).

<h3>What are Diagonals of a Parallelogram?</h3>

The diagonals of a parallelogram bisect each other, therefore, the coordinates of their intersection can be determined using the midpoint formula, which is: $M(\frac{x_2 + x_1}{2}, \frac{y_2 + y_1}{2})$ .

A diagonal is XZ.

X(2, 5) = (x1, y1)

Z(0, 0) = (x2, y2)

Plug in the values

$M(\frac{0 + 2}{2}, \frac{0 + 5}{2})$

= (1, 2.5).

Learn more about the diagonals of a parallelogram on:

brainly.com/question/12167853

#SPJ1

7 0

1 year ago

Calculate, to the nearest cent, the future value FV of an investment of $10,000 at the stated interest rate after the stated amo

Fynjy0 [20]

Answer: 1,000

First, you have to find how much 7.5% is coming out of 10,000. So in this case it's 750. Multiply 750 by 12 years. Thats 9000, you then subtract 9000 and 10,000 to get 1,000.

4 0

3 years ago

What equation represents a line that is parallel to y=3X +5

Lina20 [59]

A line that is parallel to another line will have the same slope, in our case, the slope of 3. Therefore, we can just change the y-intercept to create any line parallel to y=3x+5 (just remember to keep the slope the same). For example, y=3x+5, y=3x-9, and y=3x+6.2 are all equations that are parallel to y=3x+5.

:)

8 0

3 years ago

Tell whether the angles are complementary or supplementary. Then find the value of x.

ivann1987 [24]

Answer:

complementry. x=60

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers