Write the equation of the line that goes through the point (7, 10) and is parallel to the line y = 2x + 5

Step-by-step explanation:

So we want to write an equation of a line that goes through the point (7,10) and is parallel the the line y=2x+5.

First, we can determine the slope of our new line. Parallel lines always have the same slope. In other words, the slope of our new line must also be 2.

Now, we can use the point-slope form to find our equation:

Let's let (7,10) be x₁ and y₁. Let's also substitute 2 for m. Thus:

Distribute:

Add 10 to both sides:

And we're done!

- "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."

b

step-by-step explanation: