Answer:
(2, 3).
Step-by-step explanation:
3x+2y=12
6x+3y=21 Multiply the first equation by 3 and the second by 2:
9x + 6y = 36
12x + 6y = 42 Subtract:
-3x = -6
x = -6/-3 = 2.
Plug x = 2 into the first equation:
3(2) + 2y = 12
2y = 12 - 3(2)
2y = 6
y = 3.
The equation of the line parallel to 5x+2y=12 and passes through the point (-2, 4) is equal to y= -5/2x - 1
Mean is all the data added up and divided by how many numbers there are
Median is when you sort the numbers in order from smallest to largest and the one in the middle, if there are two in the middle find the average
Mode is number ir numbers that appears the most
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The Equation of a Line
The slope-intercept form of a line can be written as:
y = mx + b
Where m is the slope of the graph of the line and b is the y-intercept.
In the specific case where the line passes through the origin (0,0), we can find the value of b by substituting x=0 and y=0:
0 = m(0) + b
Solving for b:
b = 0.
Thus, the equation of the line reduces to:
y = mx
We only need to find the value of the slope.
That is where we need the second data. Our line is perpendicular to the line of equation 4x + 3y = 6.
Solving for y:

The slope of the second line is -4/3.
We must recall that if two lines of slopes m1 and m2 are perpendicular, then:

Substituting the value of m1 and solving for m2:

The slope of our line is 3/4 and the required equation is:

From this last equation, we need to find the general form of the line.
Multiply both sides of the equation by 4:
4y = 3x
Subtract 3x on both sides:
4y - 3x = 0
Reorder:
-3x + 4y = 0