Answer:
In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis).
Step-by-step explanation:
Answer:
(-2, 5)
Step-by-step explanation:
I will assume that your system is
y = -4x - 3
y = -2x + 1
Multiplying the second equation by -2 results in
y = -4x - 3
-2y = 4x - 2
combining these two equations eliminates x temporarily:
-y = -5, so that y must be 5.
Substituting 5 for y in the second equation, we get:
5 = -2x + 1, or
4 = -2x, which results in x = -2
and so the solution is (-2, 5)
Answer:
d. negative correlation
Step-by-step explanation:
Two variables are positive correlated when one goes up or down the other goes in the same direction and they are negative correlated when one goes up or down the other variable goes in the other direction.
In this case, the higher the temperature rises, the less snow. Therefore we have a negative correlation
Answer:
The gradient is m=1/3
Step-by-step explanation:
The gradient, known as the slope, is the rate of change, defined as the change in y divided by the change in x. In this case, we will select two points from the line and calculate the slope from there. I selected (0,3) and (3,4) to demonstrate:
Slope=m=(y2-y1)/(x2-x1)=(4-3)/(3-0)=1/3
Therefore, the gradient/slope is 1/3.
Answer with Step-by-step explanation:
Zohar cut a rectangle with a length of 5x – 2
and a width of 3x + 1
We know that:
Perimeter of rectangle is:
Perimeter=2(length+width)
=2(5x-2+3x+1)
=2(8x-1)
=16x-2
Hence, expression which can be used to find the perimeter of the rectangle is:
16x-2
Now, when x=4
16x-2=16×4-2
=62
Hence, when x=4 ,Perimeter=62
