Answer:
The equation of the graphed line is:
Step-by-step explanation:
From the graph, it is clear that the line is a horizontal line at y = 2.
We know that a horizontal line has a slope of 0 because the value of y does not change no matter what the value of x we put in.
In other words, the equation of the horizontal line would always get the form:
y = k
where k is the y-intercept of the line.
Determining the y-intercept of the line:
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 2
Thus, the y-intercept k = 2
Thus, if we substitute the y-intercept k = 2 in the equation y = k, we get the equation
y = 2
Therefore, the equation of the graphed line is:
Step-by-step explanation:
given a slope and a point that the line passes through you have 2 options
Option 1: Solve for the equation of the line so you can just use that to graph the line. In this scenario it would be y=(-5/2)x - (20/13)
Option 2: plot the given point and, based on the slope, plot the next point that it crosses. In this case the next point would be (5, 7). Then you can just draw a line using these 2 points.
Answer:
X¹=-11; X²=3
x ^ 2 + 8x - 33 = o
x ^ 2 + 11x - 3x - 33 = 0
x(x + 11) - 3(x + 11) = 0
(x + 11)(x - 3) = 0
Move 6x to the right side: 2y=12-6x
Divide both sides by 2: y=6-3x
m is the slope which in this case is -3
To see a graph plug y=6-3x into the website wolfram alpha!
Hope this helps!!
