What is the y-coordinate of point b if the slope of line ab is 5. B(3,y). A(2,4)
I added 3+2=5 and added +4=9 is this right
So we are just randomly adding a bunch of numbers that we see ??
I think you knew that the answer was supposed to be 9, so you just "did something" with the 4 numbers given that produced 9.
If not, please explain why you added 3+2+4 ?
correct way:
slope is 5, point on line is (2,4)
equation of line is:
y-4= 5(x-2)
for your 2nd point, sub in x = 3, and solve for y
or:
(y-4)/(3-2) = 5
y - 4 = 5
y = 9
I added from a and b 3+2=5 and the 4 was left then added =4=9. I really didn't know what I was doing your right I just didn't know =4 was left it was just a guess
So what is the answer
?🤷♀️
To find the y-coordinate of point B, given the slope of line AB, we need to use the formula for the slope of a line:
slope = (change in y) / (change in x)
In this case, the slope is given as 5. The change in x can be calculated by subtracting the x-coordinate of point A from the x-coordinate of point B: x_B - x_A = 3 - 2 = 1.
So, the equation becomes:
5 = (change in y) / 1
To solve for the change in y (the y-coordinate difference between the two points), we multiply both sides of the equation by 1:
5 * 1 = change in y
This simplifies to:
5 = change in y
Therefore, the y-coordinate of point B is 5 units higher than the y-coordinate of point A.
Given that point A has a y-coordinate of 4, we can find the y-coordinate of point B by adding 5 to it:
y-coordinate of point B = 4 + 5 = 9.
So, the y-coordinate of point B is 9.