The general equation of a line is expressed as y = mx + b where m is the slope of the line and b is the y-intercept. The y-intercept is the value of y when the graph crosses the y- axis. Consequently, it is the value of y when x is zero. The slope is the rate of change of y with respect to the change in x. It is calculated from the ratio of the difference of two y values and the difference of the corresponding x values. Given the points would result to a line, we can determine those elements for the line as follows:
b = 36
m = (y2 - y1) / (x2 - x1)
m = (27 - 36) / (3 -0) = -3
So, the equation of the line would be y = -3x + 36.
Answer:
x= 16
Step-by-step explanation:
First, you want to distribute each side! (you're gonna wanna learn this because you will be having to do it for the next 3 years no joke it sucks)
7(x+2) can be distributed as 7x+14 after multiplying 7 times x and 7 times 2, and 6(x+5) can be distributed as 6x+30.
Now, you have to get the x on one side to solve for x (so like x=__).
To do this, look at the equation as of now. 7x+14=6x+30.
We can minus 14 and bring that to the right, and minus 6x and bring that to the left to separate the x's and the regular numbers.
Now we have 16=x (or x=16).
Answer:
Midpoint....; (0,-6)
Step-by-step explanation:
Midpoint of the segment
= [(sum of x-coordinates) ÷ 2] , [(sum of y-coordinates) ÷ 2]
Midpoint = [( 3 + (-3))÷ 2 , (-5 + (-7))÷ 2]
Midpoint = ( 0/2 , -12/2 )
Midpoint = (0,-6)
<h3>Answers:</h3><h3>Area of parallelogram = 63</h3><h3>Area of triangle = 34</h3><h3>Area of trapezoid = 84</h3><h3>The trapezoid has the largest area</h3>
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Work Shown:
area of parallelogram = base*height
area of parallelogram = 9*7
area of parallelogram = 63
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area of triangle = (1/2)*base*height
area of triangle = (1/2)*10*6.8
area of triangle = 34
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area of trapezoid = height*(base1+base2)/2
area of trapezoid = 6*(13+15)/2
area of trapezoid = 6*(28)/2
area of trapezoid = 168/2
area of trapezoid = 84
B.
If you go left 2 and up 3.5, you’ll get point A
