The set of points (–3, 7), (0, –3) and (6, 1) are plotted in the coordinate plane. Which of the following statements is true about the graph of these points? A. They do not represent a linear function. B. The slopes of the lines between each pair of points are equal. C. The first coordinate of each ordered pair is always less than the second coordinate. D. The coordinates of the ordered pairs satisfy the equation .

Answer:

X coordinate

Y coordinate

rectangle

Step-by-step explanation:

The  statements is true about the graph of these points is

The coordinates of the ordered pairs satisfy the equation .

The slope of a line is the measure of the steepness and the direction of the line. The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line.

Slope = m = tan θ = (y2 - y1)/(x2 - x1)

where, m is the slope, and θ is the angle made by the line with the positive x-axis.

According to the question

The set of points (–3, 7), (0, –3) and (6, 1) are plotted in the coordinate plane.

Conditions which are true in options for set of points .

a> They do not represent a linear function.

A linear function is defined as a function that has either one or two variables without exponents.

This statement is false they do represent the linear function.

b>The slopes of the lines between each pair of points are equal.

slopes between (–3, 7), (0, –3)

Slope = (y2 - y1)/(x2 - x1)

Slope = (7 - (-3))/( (-3))

Slope = [tex]\frac{-10}{3}[/tex]

slopes between (0, –3) and (6, 1)

Slope = (y2 - y1)/(x2 - x1)

Slope = (1 - (-3))/(6- (0))

Slope = [tex]\frac{2}{3}[/tex]

Hence, this statement is false .

c>The first coordinate of each ordered pair is always less than the second coordinate.

This statement is false as in both ordered pair  (0, –3) and (6, 1)  first coordinate is bigger than second

d>The coordinates of the ordered pairs satisfy the equation .

This is true as ordered pairs satisfy the equation .

y = mx +c

Hence, the  statements is true about the graph of these points is

The coordinates of the ordered pairs satisfy the equation .

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