The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula
m = (y2 - y1)/(x2 - x1)
m = (1 - (-3))/(3 - 1)
m = 4/2
m = 2
Therefore the slope, or the average rate of change, between these points is 2.
Answer:
y=5/2 x
Step-by-step explanation:
The standard form of a linear equation is Ax +By=C
Answer:
y-intercept : 3
x-intercepts are 1 and 2
Vertex is at (2,-1)
Axis of symmetry is at x = 2
Step-by-step explanation:
See attached graph.
The equation y = x² – 4x + 3 represents a parabola
y-intercept at is at B(0,3); y-intercept is 3
x-intercept points at C(1,0) and D(3,0) so x-intercepts are 1 and 3
The vertex is the lowest point on this parabola (2-1)
Axis of symmetry is a line passing through the vertex and dividing the parabola into two equal halves. This is the vertical line x = 2
The point-slope form of the equation of the line through the given points through: (-3,-1) and (-2,5) is y + 1 = 6x + 18
<u>Solution:</u>
Given, two points are (-3, -1) and (-2, 5)
We have to find that a line that passes through the given two points.
First let us find the slope of the line that passes through given two points.
<em><u>The slope of line "m" is given as:</u></em>


Now, let us find the line equation using point slope form

where m is slope

Hence the point slope form is y + 1 = 6x + 18
Answer:
midpoint of AB = (-1/2 , 0)
Step-by-step explanation:
A(-2 , 1) = (x1 , y1)
B(1 , -1) = (x2 , y2)
midpoint formula:
=(x1 + x2/2 , y1 + y2/2)
=(-2 + 1/2 , 1 + (-1)/2)
=(-1/2 , 0/2)
(-1/2 , 0)