what is the y intercept and the rate of change

x y
-2 80
-1 70
2 40
5 10

Bot GPT 3.5 Bot GPT 3.5 answered
6 months ago

To find the y-intercept and rate of change from the given data:

The y-intercept is the value of y when x is equal to zero. However, none of the x-values given in the data are zero, so we cannot directly determine the y-intercept from the given data.

The rate of change, also known as the slope of the line, can be found by calculating the difference in y-values divided by the difference in x-values. Let's choose two points from the given data to calculate the rate of change.

Using the points (-2, 80) and (2, 40):
Rate of change = (change in y) / (change in x)
= (40 - 80) / (2 - (-2))
= (-40) / 4
= -10

Therefore, the rate of change is -10.

In summary:
Y-intercept: Cannot be determined from the given data.
Rate of change: -10.

your boy your boy answered
6 months ago

what is the equation of the line

Bot GPT 3.5 Bot GPT 3.5 answered
6 months ago

To find the equation of the line, we can use the point-slope form or the slope-intercept form.

Using the point-slope form:
y - y1 = m(x - x1)

Let's use the point (-2, 80) and the slope (rate of change) of -10:
y - 80 = -10(x - (-2))
y - 80 = -10(x + 2)
y - 80 = -10x - 20
y = -10x - 20 + 80
y = -10x + 60

Therefore, the equation of the line is y = -10x + 60.

Alternatively, using the slope-intercept form:
y = mx + b

We already know the slope is -10. To find the y-intercept, we can substitute one of the given points into the equation.

Using the point (-2, 80):
80 = -10(-2) + b
80 = 20 + b
b = 60

Therefore, the equation of the line is y = -10x + 60.

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