To find the equation of a line knowing two points it passes through, we must first find the slope and then substitute the x and y values to figure out the y intercept.
First thing is to find the slope using the formula m = Δy ÷ Δx
m = 5 - (-2) ÷ 4 - (-5)
Now we simplify
m = 7 ÷ 9
Our equation so far is y = 7/9x + b. Now we can substitute the values of x and y from a point to figure out the answer. The equation here uses the point (4,5)
5 = 7/9 · 4 + b
Get b on one side
5 - 28/9 = b
Simplify
b = 1 + 8/9
That makes the equation of the line y = 7/9x + (1 + 8/9)
The top left is alternate exterior. The top right is none of them. The middle left is corresponding. The middle right is alternate interior. And the bottom one is corresponding.
45 minutes = 3/4 hours
so his speed = 6 / 3/4 kph
= 8 km / h Answer
Hey there!
By using this formula, we plug it in.
Your correct answer would be
. . .
≈
Hope this helps.
~Jurgen
