Answer: Graph D (bottom right corner)
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Explanation:
The equation y = 3x+3 is in slope intercept form y = mx+b
m = 3 = slope
b = 3 = y intercept
In this case, both the slope and y intercept are the same (though in general they tend not to be).
The positive slope value means the line goes uphill as you move from left to right. The positive y intercept means the diagonal line crosses the y axis somewhere above the horizontal x axis. Specifically, it crosses the y axis at y = 3
Graph D is the only graph that has such a line on it. Graphs A, B and C have the positive slope line where they have a negative y intercept, so we can rule them out.
You can use graphing tools such as Desmos or Geogebra to help confirm this answer. You could also make a table of values, and plot each point, to form the lines. Two points is the minimum amount needed to form any line.
Answer:Divide both sides by the numeric factor on the left side, then solve.
m
=
−
4
Step-by-step explanation:
4x+6y=8
3x+y=9
y = 9 - 3x
4x + 6( 9-3x ) = 8
4x + 54 - 18x = 8
14x = 46
x = 23/7
y = 9 - 3(23/7)
y = 9 - 69/7
y = - 6/7
