Find the equation that represents the linear function described in the table below. What are the x- and y-intercepts?
x values / -8, -4, 4, 6, 12
y values / -4, -3, -1, -0.5, 1
please please help me out
I've been trying to figure out the answer since yesterday
and my teacher never explained anything about this
Are you telling me your teacher never taught you about slope, ordered pairs, x and y intercepts ???
I'm not sure on what the question is asking me to do :////////////
i can't find the equation
nor the intercepts
See post: 3-1-19, 1:28PM.
To find the equation that represents a linear function, we need to determine the slope (m) and the y-intercept (b).
Let's start by finding the slope, which represents the rate of change between any two points.
Using two points from the table, (-8, -4) and (-4, -3), we can calculate the slope as follows:
slope (m) = (change in y) / (change in x)
= (-3 - (-4)) / (-4 - (-8))
= (-3 + 4) / (-4 + 8)
= 1 / 4
= 0.25
Now that we have the slope (m), we can move on to finding the y-intercept (b). The y-intercept is the value of y when x is equal to 0.
Let's use the point (-8, -4) from the table:
y = mx + b
-4 = (0.25)(-8) + b
-4 = -2 + b
b = -2 - (-4)
b = -2 + 4
b = 2
So, the slope (m) is 0.25 and the y-intercept (b) is 2.
Now we can write the equation in slope-intercept form (y = mx + b):
y = 0.25x + 2
To find the x-intercept, we set y equal to 0 and solve for x:
0 = 0.25x + 2
Subtracting 2 from both sides:
-2 = 0.25x
Dividing both sides by 0.25:
x = -2 / 0.25
x = -8
Therefore, the x-intercept is -8.
To summarize:
- The equation that represents the linear function is y = 0.25x + 2.
- The x-intercept is -8.
- The y-intercept is 2.