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Let O be the intersection of the vertical line through ZX, and the horizontal line through YW.
The coordinates of this point are clearly (5, 2) as it is at the same x-coordinate as X and Z, and y-coordinate as Y and W.
So, YZO is a right triangle. By the Pythagorean theorem:
.
Since all sides of a rhombus are equal, then the perimeter is :
units.
Answer: third choice.
The coordinates of this point are clearly (5, 2) as it is at the same x-coordinate as X and Z, and y-coordinate as Y and W.
So, YZO is a right triangle. By the Pythagorean theorem:
Since all sides of a rhombus are equal, then the perimeter is :
Answer: third choice.
y = 0x - 10 is the equation in slope-intercept form given that the points (10, -10) and (8, -10) which fall on a particular line. This can be obtained by the formula of the slope-intercept form of the line.
<h3>What is its equation in slope-intercept form?</h3>- Linear equation is an equation that models a linear function.
In linear equation the variables are raised to the first power.
Example, Linear equation: 2x + 3, Not a linear equation: x² + 5
The graph of a linear equation contains all the ordered pair that are solutions of the equation.
The equation of a line is given by,
y = mx + c, m is the slope of the equation, c is the y intercept
m = , y intercept is the y coordinate of the point where y crosses the y axis.
Here in the question it is given that,
The points (10, -10) and (8, -10) fall on a particular line.
We have to find the equation in slope-intercept form.
Slope of the equation will be,
m = ⇒ m =
⇒ m = 0
y-intercept of the equation will be,
y = mx + c ⇒ -10 = 0 + c ⇒ c = -10
The equation of the line in slope-intercept form will be,
y = 0x -10
Hence y = 0x - 10 is the equation in slope-intercept form given that the points (10, -10) and (8, -10) which fall on a particular line.
Learn more about slope-intercept form here:
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