Parallel to : y = 1/2x - 8
Passes through (-6, -17)
Our given slope is 1/2.
Plug the given coordinates into point-slope form.
y - y₁ = m(x - x₁)
y - (-17) = 1/2(x - (-6))
Simplify.
y + 17 = 1/2(x + 6) ← Your answer.
However, sometimes teachers want this simplified even further.
So, simplify this.
y + 17 = 1/2x + 3
Subtract 17 from both sides.
y = 1/2x + 3 - 17
Simplify.
y = 1/2x - 14 ← Slope-intercept form.
Standard form → -1/2x + y = -14
~Hope this helped!~
Answer:
m = 3/2
Step-by-step explanation:
You want to find the slope, or the change in y coordinates over change in x-coordinates.
The first given point is E(-2, -4)
The second point is F(2, 2)
Coordinates are given in (x, y), so following the equation and computing the x and y coordinates of E - F for both the numerator and denominator:

You could also have went the other way and calculated F - E for the numerator and denominator and get the same answer.
Finally, to check you can also look at the graph through the rise over run (rise/run) method and see that from E, you go up 3 (rise) and to the right 2 (run) to get to the next point on the line.
I agree with the comments. If you give an example, I will walk you through the steps to solve it.
Answer:
240kmh
Step-by-step explanation:
The distance that the train traveled in 30s is the difference of the total length of the tunnel and the train (2000m). This means it travels 2000m/30s. This ratio is the same as 240000/3600s or 240km/1hr.
Answer mixed number -1 3/4
Decimal -1.75