On the first question, the formula would be m=\frac{y2-y1}{x2-x1} and the value we got is -4/3, so D.
On the second quesiton, the slope in the given equation of the line is -2, its negative reciprocal is 1/2, so A.
On the third question, use the slope formula above and the value you would get is zero, so A.
On the fourth question, the equation of the line perpendicular to line QR is y=2x+b, to find b, just substitute the point (5,6) to the equation. That would make b = -4. the final equation of the line would be: y=2x-4, so D.
On the fifth question, the equation of the line parallel to line QR is y = -2x + b. substitute the point (4,5) to the equation, and you'll get b = 13. the final equation of the line would be y=-2x+13, so A.
Answer:
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Step-by-step explanation:
Normally, one would have a certain pattern and they would make an equation to make the prediction for what values would come next in a sequence ( or at some x value ), but if one had an equation such as y=3x+4 ( I am using examples because this was a very general question ) they could see that when x is 0 y=4 and that the y value increases three units for every change in x value. since y=4 when x=0, 4 may be called the initial value as well as the y-intercept ( in fact this is generally true for all mathematical models ). This is where the pattern starts.
The graph is decreasing because the arrow is going down or starts off high and gets lower and lower.
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