For straight lines the constant rate of change(slope) is a constant(always the same) For every unit moved on the x-axis two more are moved on the y-axis
Answer:
Step-by-step explanation:
(9-5)/6-4)= 4/2= 2
y - 5 = 2(x - 4)
y - 5 = 2x - 8
y = 2x - 3 is the solution
Answer:
The rhombus ABCD has an area of 22 square units.
Step-by-step explanation:
The coordinates of rhombus ABCD are shown in the image attached below. The area of the rhombus can be found in terms of their diagonals, which are now calculated by Pythagorean Theorem:
![AC = \sqrt{[6-(-4)]^{2}+[8-(-4)]^{2}}](https://tex.z-dn.net/?f=AC%20%3D%20%5Csqrt%7B%5B6-%28-4%29%5D%5E%7B2%7D%2B%5B8-%28-4%29%5D%5E%7B2%7D%7D)

![BD = \sqrt{(4-6)^{2}+[0-(-2)]^{2}}](https://tex.z-dn.net/?f=BD%20%3D%20%5Csqrt%7B%284-6%29%5E%7B2%7D%2B%5B0-%28-2%29%5D%5E%7B2%7D%7D)

The area of the rhombus is: (
and
)



The rhombus ABCD has an area of 22 square units.
Equation of required line is:

Step-by-step explanation:
First of all we will convert both equations in slope-intercept form

Subtracting 5x from both sides

Subtracting 9 from both sides

The y-intercept is -9.
Other equation is:

Adding 3x on both sides

Dividing both sides by 4

As the required line has y-ntercept of line y + 5x + 9 = 0
So,
b = -9
And
The line is parallel to second line, so the slopes of both will be equal

Slope-intercept form of line is:

Putting values of b and m

Keywords: Equation of line, Slope-intercept form
Learn more about equation of line at:
#LearnwithBrainly