Without graphing, identify the slope and the y intercept for the line assoiciated with each equation or table of values:
5x + 20y = 60
x y1
0 6
1 10
2 14
3 18
4 22
5 26
6 30
X=0
PLEASE HELP ME!!!
doesn't y increase by 4 for each increase of one in x?
ok so the slope would be 4?
However, whomever created the data table didn't do it correctly for the equation. In the equation, as x increases, y should decrease.
In the equation, if you solve for slope, it is -1/4. So the problem is flawed.
Thank you bobpursley!!!
To identify the slope and y-intercept for the equation 5x + 20y = 60, we can rewrite it in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.
First, let's rearrange the equation to isolate y:
5x + 20y = 60
20y = -5x + 60
y = (-5/20)x + (60/20)
Simplifying further:
y = (-1/4)x + 3
Comparing this equation to the slope-intercept form, we can see that the slope (m) is -1/4 and the y-intercept (b) is 3.
Now, let's analyze the table of values:
x y
0 6
1 10
2 14
3 18
4 22
5 26
6 30
To find the slope from the table, we can use the formula: slope (m) = (change in y) / (change in x).
Let's take two consecutive points from the table:
On the table, when x changes from 0 to 1, y changes from 6 to 10. This is a change of 4 units in y with a corresponding change of 1 unit in x.
Therefore, the slope is 4/1 or simply 4.
Lastly, to find the y-intercept, we can look at the value of y when x = 0 in the table. From the table, we see that when x = 0, y = 6.
Hence, based on the given equation and the table of values, the slope (m) is 4 and the y-intercept (b) is 6.