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4 years ago

A line passes through the points (7, 10) and (3, 2). What is its equation in slope- intercept form?

1 answer:

3 0

In order to get an equation is slope intercept form, we need to find the slope.

The formula is:
y2 - y1
———-
x2 - x1

In this case:
10 - 2
———
7 - 3
=
8/4
2

Now that we know the slope, we can plug it into y = mx + b with x and y being x1 and y1.

y = 2x + b
10 = 2(7) + b
10 = 14 + b
-4 = b

Now, we can construct our equation.

y = 2x - 4

Hope this helped!

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Match each statement in the proof with the correct reason.

Masteriza [31]

Answer:

See explanation

Step-by-step explanation:

Definition of parallelogram: Parallelogram is a quadrilateral with two pairs of parallel sides.

Definition of transversal (diagonal): A line that cuts across two or more (usually parallel) lines.

Definition of the same side interior angles: These angles are located exactly as their name describes. They are "interior" (between the parallel lines), and they are on the same side of the transversal (diagonal).

The same-side interior angles theorem states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary

Statement Reason

1. ABCD is a parallelogram - Given

2. $\overline{AB}\parallel \overline {CD}$ - Definition of parallelogram

3. $\overline{AD}$ is a diagonal of $\overline{AB}$ and $\overline{CD}$ - Definition of diagonal

4. $\angle A$ and $\angle D$ are the same side interior angles - Definition of same-side interior angles

5. $\angle A$ is supplementary to $\angle D$ - Same-Side Interior Angles Theorem

5 0

3 years ago

How would I solve this?

trasher [3.6K]

You had the right idea using the Pythagorean theorem to solve for b.

Problem is for that triangle to work, the 5 and the 2√2 would have to switch places. The length of a leg cannot be larger than the length of the hypotenuse for it to truly be a right triangle.

Pythagorean theorem only works for the right triangles. Only way to "solve this problem would be to bring in complex numbers.

5² + b² = (2√2)²

25 + b² = 2²(√2)²

25 + b² = 4(2)

25 + b² = 8

b² = 8 - 25

b² = - 17

b = √-17

b= (√17i)

Then the problem with THIS is a measurement/distance cannot be negative... which goes against exactly what that complex number i is.

8 0

3 years ago

Pls help I’m failing

vazorg [7]

Answer:

Decrease by 13%

Step-by-step explanation:

7 0

3 years ago

Which of the following points does not lie on the graph of y=5x-5? (0-5) (1.0) (-5.0)

mojhsa [17]

Y=5x-5
0=5x-5
-5x=-5

X=1

8 0

3 years ago

Help please brainly is the reward

Elis [28]

Step-by-step explanation:

A. First know that

$rectangle \: area \: = \: len \: \times width \: \\ = 12ft\times 18ft \\ = 216 \: ft ^{2}$

$sq \: area \: = ( one \: side)^{2} \\ = (13ft)^{2} \\ = 169ft^{2}$

Expression

 $cost \: = 169(3.50) + 216(3.50) \:$ 

$1347.50

7 0

3 years ago