find the two ordered pairs of this equation.
y=5/3x+8
then give the slope and y intercept.
I know the slope is rise over run and is the y intercept 8?
This is the answer I got but I am still really confused how do I get my two ordered pairs this makes no sense to me!
Your Y-Intercept is 8. From there on the graph you'd go to Positve 8 and from there you'd either go 5 up and 3 to the right or 5 down and 3 to the left....Either one would give you points on a straight line.
Y = mx + B
m= slope
x= x coordinate
y= y coordinate
b= y-intecept
thus, 5/3 is the slope and 8 is the y-intercept.
There are lots of ordered pairs on a line.
Two really easy ones are the x intercept and the y intercept.
At x axis intercept, y = 0
so
0 = (5/3) x + 8
x = -24/5
so that ordered pair is (-24/5 , 0)
At y axis intercept, x = 0
so
y = 0 + 8
so that ordered pair is (0,8)
To find the ordered pairs of the equation y = (5/3)x + 8, you can choose any x-value and substitute it into the equation to get the corresponding y-value.
Let's choose two different x-values to find the ordered pairs.
For the first ordered pair, let's choose x = 0.
Substitute x = 0 into the equation:
y = (5/3)(0) + 8
y = 0 + 8
y = 8
So the first ordered pair is (0, 8).
For the second ordered pair, let's choose x = 3.
Substitute x = 3 into the equation:
y = (5/3)(3) + 8
y = 15/3 + 8
y = 5 + 8
y = 13
So the second ordered pair is (3, 13).
Now that we have the two ordered pairs: (0, 8) and (3, 13), we can find the slope and y-intercept.
The slope of the equation can be determined by comparing the coefficient of x, which is 5/3 in this case.
So the slope is 5/3.
The y-intercept is the value of y when x is 0. In this equation, we have already found that when x = 0, y = 8.
Therefore, the y-intercept is 8.
To summarize:
The two ordered pairs are (0, 8) and (3, 13).
The slope is 5/3.
The y-intercept is 8.