To graph the table, we plot the given points on a coordinate plane:
(-2, 80): This means that when x = -2, y = 80. So, we plot the point (-2, 80).
(-1, 70): This means that when x = -1, y = 70. So, we plot the point (-1, 70).
(2, 40): This means that when x = 2, y = 40. So, we plot the point (2, 40).
(5, 10): This means that when x = 5, y = 10. So, we plot the point (5, 10).
After plotting these points, we can connect them to form a line:
|
80 - - - -+-------------------o (-2, 80)
|
70 - - - -+-------------------o (-1, 70)
|
60 - |\
| \
50 - | \
| \
40 - - - -o \ (2, 40)
| \
30 - | \
| \
20 - | \
| \
10 - - - -+-------------------o (5, 10)
|
|
|
- - - - - -|--------------------
|
|
|
-5 -4 -3 -2 -1 0 1 2 3 4 5
The y-intercept is the point where the line crosses the y-axis. Since the line crosses the y-axis at y = 90, the y-intercept is 90.
graph the table:
(-2, 80)
(-1, 70)
(2, 40)
(5,10)
what is the y-intercept
3 answers
ok, what is the equation for the line?
To find the equation of the line, we can use the slope-intercept form of a linear equation: y = mx + b.
To determine the slope (m) of the line, we can use the two points: (-1, 70) and (2, 40).
The formula for slope between two points (x1, y1) and (x2, y2) is given by: m = (y2 - y1) / (x2 - x1).
Using (-1, 70) and (2, 40), we have:
m = (40 - 70) / (2 - (-1))
= (-30) / 3
= -10
Now, let's substitute one of the given points, say (-1, 70), in the equation y = mx + b:
70 = -10(-1) + b
70 = 10 + b
b = 70 - 10
b = 60
Therefore, the equation of the line is: y = -10x + 60.
To determine the slope (m) of the line, we can use the two points: (-1, 70) and (2, 40).
The formula for slope between two points (x1, y1) and (x2, y2) is given by: m = (y2 - y1) / (x2 - x1).
Using (-1, 70) and (2, 40), we have:
m = (40 - 70) / (2 - (-1))
= (-30) / 3
= -10
Now, let's substitute one of the given points, say (-1, 70), in the equation y = mx + b:
70 = -10(-1) + b
70 = 10 + b
b = 70 - 10
b = 60
Therefore, the equation of the line is: y = -10x + 60.