The answer is zero. because the 4 and -4 cancel out.
Answer:
-29
Step-by-step explanation:
Step-by-step Answer:
The coordinates of the mid-point of a segment whose end-points are known is the average of the coordinates of the end-points.
Here, the end-points are: (-11,0), (9,-1)
So the x-coordinate of the mid-point is (-11+9)/2 = (-2/2) = -1, and
the y-coordinate of the mid-point is (0-1)/2 = -0.5
So the mid-point is (-1,-0.5)
Check the numbers by plotting the point on the graph!
Answer: The slope of a line parallel to 4x - 2y = -12 is <em>(m=6),</em> or just <em>6</em>.
Step-by-step explanation:
In order to find the slope of the equation, we must first change the equation from standard form into slope-intercept form.
First things first is to subtract 4x from both side so that the <em>y</em> and slope are not on the same side of the equation, and so that the slope and y-intercept are on the same side of the equation.
4x - 2y = -12
<u>-4x</u> <u>-4x</u>
-2y = -4x - 12
Subtracting 4x from both sides of the equation successfully transforms the equation from standard form into slope-intercept form and gives you the equation <em>-2y = -4x - 12.</em>
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The next step is to make sure that the <em>y </em>is positive. It is also necessary to ensure that there is no coefficient. The way to do that is to divide all terms on both sides of the equation by <em>-2</em>.
<u>-2y = -4x - 12</u>
-2
y = 4x + 6
Dividing both sides of the equation by -2 correctly and fully transforms the equation into the slope-intercept form and as well gives us the equation <em>y = 4x + 6.</em> From this equation we can see that the slope of the equation is 6, or <em>(m=6)</em>.
Since the slopes of all parallel lines are exactly the same, we can conclude that the slope of a line parallel to 4x - 2y = -12 <em>(y = 4x + 6)</em> is 6.
Answer:
y=3/2x-6
Step-by-step explanation:
m=(0-(-3))/(4-2)
m=(0+3)/2
m=3/2
y-y1=m(x-x1)
y-(-3)=3/2(x-2)
y+3=3/2(x-2)
y=3/2x-6/2-3
y=3/2x-3-3
y=3/2x-6
