Write the equation of a line parallel to y=3x-2 and goes through the point (-6,-11)

The equation of the line would be y = 3x + 7

Step-by-step explanation:

In order to find the equation of the new line, start by taking the slope from the first line (3). This is because parallel lines have the same slope. Next, we use that and the point in point-slope form.

y - y1 = m(x - x1)

y - -11 = 3(x - -6)

y + 11 = 3(x + 6)

y + 11 = 3x + 18

y = 3x + 7

- "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."