This net folds into a cube. Which two letters appear on opposite faces?
2 answers:
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Answer:
Step-by-step explanation:
Hi there!
Slope intercept form: where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
<u>1) Find the slope (m)</u>
where the two given points are
and
Plug in the given points (2,8),and (8,2)
Therefore, the slope of the line is -1. Plug this into :
<u>2) Find the y-intercept (b)</u>
Plug in a given point and solve for b
Add 2 to both sides
Therefore, the y-intercept is 10. Plug this back into :
I hope this helps!
Answer:
Solution of the system of equations: (1, 1)
x = 1, y = 1
Explanation:
Given the below system of equations;
Note that the slope-intercept form of the equation of a line is given as;
where m = slope of the line
b = y-intercept of the line
Comparing the given system of equations with the slope-intercept equation, we can see that, for the 1st equation (y = -3x + 4), the slope(m) = -3 and y-intercept(b) = 4 and for the 2nd equation, slope(m) = 3 and y-intercept(b) = -2.
Knowing the above information, let's go ahead and graph the system of equations;
From the above graph, the point of intersection of the two lines (1, 1) is the solution of the system of equation.
