The graph is falling on the left hand side and rising on the right hand side.
Since the two ends of graph are in opposite direction, the exponent of variable has to be odd. For an even exponent of leading term, the two ends are in same direction.
Since the graph is falling on left and rising on right, this indicates that the coefficient of leading term is positive.
So, the leading term must have:
1) Odd exponent
2) Positive Coefficient
Thus, option Fourth is the correct answer
This answer seems to be C
The general equation of a line is expressed as y = mx + b where m is the slope of the line and b is the y-intercept. The y-intercept is the value of y when the graph crosses the y- axis. Consequently, it is the value of y when x is zero. The slope is the rate of change of y with respect to the change in x. It is calculated from the ratio of the difference of two y values and the difference of the corresponding x values. Given the points would result to a line, we can determine those elements for the line as follows:
b = 36
m = (y2 - y1) / (x2 - x1)
m = (27 - 36) / (3 -0) = -3
So, the equation of the line would be y = -3x + 36.
Answer:
1.y=2x+7
2.y=1/2x+2
Step-by-step explanation:
Graph 1-
The slope-intercept form is y=mx+b
b= y-intercept which in graph 1 is 7
so y=mx+7
in order to find m you use the y2-y1/x2-x1 equation.
This means find two coordinates on the graph such as (0,7) and (-1,5).
Now find y2:5
y1:7
x2:-1
x1:0
y2-y1= 5-7=-2
x2-x1= -1
That gives you -2/-1 which you then simplify to = 2
So the graph would be y=2x+7
Graph 2:
You will do the same steps: Find where the line passes through y on a graph, which will be y=2.
b=2
y=mx+2
then find two coordinates, (0,2)(2,3)
y2=3
y1=2
x2=2
x1=0
y2-y1=3-2=1
x2-x1=2-0=2
The slope of the graph which is m= 1/2
y=1/2x+2
