We can rearrange 3x+y=9 to look more conventional by subtracting 3x from both sides and making it y= -3x+9.
Now we want to find a line that is parallel to this and goes through the point (0,-4). We know that -3 is the slope. With this in mind, if we want the other line to be parallel then it must have the same slope so that they never intersect. This gives us one of the numbers we need for the second line.
This means our second equation is looking like; y= -3x+b. This means we need to find b (the y-intercept) but we are also given a point it must go through and this is (0,-4). We simply plug this in into our new equation we need to solve and we get ; -4 = -3(0) + b . "since 0 is the x and -4 is the y" . From this we get that b= -4. This means the equation of a line parallel is:
y = -3x-4
Answer: it took him 0.075 seconds lesser
Step-by-step explanation:
In his first heat, his time was 2.45 seconds greater than his friend's record time. In his second heat, his time was 2 3/8 seconds greater than his friend's record time. Converting 2 3/8 seconds to decimal, it becomes 2.375 seconds
Therefore, he was fastest in the second heat.
The difference between the time he used to run in the second heat than in the first heat is
2.45 - 2.375 = 0.075 seconds
(-2,0)
Lies on the X axis makes it perpendicular with the other points
