Can you please solve this problem

(-1, -6)

Step-by-step explanation:

First, make sure each equation follows this format:

y = mx + b

Where m is the slope and b is the y-intercept

Equations:

y = 6x

2x + 3y = -20

The equation in bold is not formatted correctly. Let's make it into the slope-intercept form (y = mx + b).

Subtract 2x on both sides:

2x + 3y = -20

-2x           -2x

3y = -2x - 20

Divide by 3 on both sides:

3y = -2x - 20

/3     /3    /3

y = -2/3x -20/3

Now, we have our two equations!

y = 6x

y = -2/3x -20/3

To solve, we need to use substitution. Therefore, set the equations equal to themselves.

y = 6x

y = -2/3x -20/3

6x = -2/3x -20/3

Solve:

6x = -2/3x -20/3

Add 2/3x on both sides:

6x = -2/3x -20/3

+2/3x        +2/3x

6 2/3x = -20/3

Divide by 6 2/3 on both sides:

6 2/3x = -20/3

/6 2/3     /6 2/3

x = -1

Therefore, the x-coordinate of the interception point between these two lines is -1.

To find the y-coordinate, substitute the value of x into one of the equations. Let's use y = 6x.

Substitute:

y = 6x

y = 6(-1)

Multiply:

y = 6(-1)

y = -6

Therefore, the y-coordinate of the interception point between these two lines is -6.

The ordered pair is (-1, 6). This means that the two lines have one solution, or one place where they intersect. That location is (-1, 6).

step-by-step explanation:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."