Question

Which ordered pair would form a proportional relationship with the point graphed below? On a coordinate plane, a line with negative slope goes through points (negative 20, 10), (0, 0), and (20, negative 10). (10, –20) (–30, 20) (–10, 5) (35, –20)

Answer 1

An ordered pair would form a proportional relationship with the point graphed is: C. (–10, 5)

In Mathematics and Geometry, a proportional relationship is a type of relationship that passes through the origin (0, 0) and produces equivalent ratios as represented by the following mathematical equation:

y = kx

Where:

• y represents the y-variable​.
• x represents the x-variable.
• k is the constant of proportionality or slope.

Next, we would determine the constant of proportionality or slope (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 10/-20 = -10/20 = 5/-10

Constant of proportionality, k = -1/2

Therefore, the required linear equation for y(x) is given by;

y = kx

y = -1/2(x)

Missing information:

The question is incomplete and the missing graphs are shown in the attached picture.

Answer 2

Answer:

(5, 20)

Step-by-step explanation:

We can find the slope of the line

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

= (40-0)/(10-0)

= 40/10

=4

Since the line goes through (0,0) the y intercept is 0

y = mx+b

y = 4x

Lets check the points by substituting into the equation

40, 10) 10 = 4*40 10 =160 no

(–5, –10) -10 = 4*-5 10 = -20 no

(5, 20) 20 = 4*5 20 = 20 yes

(–10, –20) -20 = 4*-10 -20 = -40 no

Explanation:

Which ordered pair would form a proportional relationship with the point graphed below? On a coordinate plane, a line with negative slope goes through points (negative 20, 10), (0, 0), and (20, negative 10). (10, –20) (–30, 20) (–10, 5) (35, –20)