Hi there!
All sets of parallel lines must have the same slope, as this allows the line to go to infinity without intersecting.
In order to find the slope of 4x-3y=6, we need to put the equation in y=mx+b form. The m value will represent the slope.
4x-3y=6
-3y=-4x+6
y=4/3x-2
Therefore the slope would be 4/3.
Hope this helps!
Answer:
The equation of the line is y = 3/4x - 3
Step-by-step explanation:
To find the equation of the line, pick any two points and find the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (6 - 0)/(12 - 4)
m = 6/8
m = 3/4
Now that we have the slope, we can use the slope and point-slope form to find the equation in slope intercept form.
y - y1 = m(x -x1)
y - 6 = 3/4(x - 12)
y - 6 = 3/4x - 9
y = 3/4x - 3
The shape which describe the shape of the sandbox is "A quadrilateral, because angle c and angle x are acute."
<h3>
What is Quadrilateral?</h3>
A quadrilateral is a four-sided polygon, having four edges and four corners.
Here, Diagonal = 14 ft.
Length = 12 ft.
Width = 8 ft.
14² = 196, 12² = 144, 8² = 64
8² + 12² ≠ 14²
so it is not a rectangle.
Now, 14² < 12² + 8²
this condition does not occur in rectangle, so it will be a quadrilateral and here sum of square of two adjacent side is greater than the square of third side (Diagonal). So that is an acute angle.
From this situation we can conclude that:
Thus, the shape which describe the shape of the sandbox is "A quadrilateral, because angle c and angle x are acute."
Learn more about Quadrilateral from:
brainly.com/question/13805601
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