Answer the questions using the table.
x -2, -1, 2, 5
y 80, 70, 40, 10
(3 points)
the rate of change =
the y−intercept =
the equation of the line is
To find the rate of change, we can calculate the change in y divided by the change in x.
The change in y is 80 - 10 = 70.
The change in x is 5 - (-2) = 7.
So the rate of change is 70/7 = 10.
To find the y-intercept, we need to identify the value of y when x is 0. Looking at the table, we don't have a value for x=0. Therefore, we cannot determine the y-intercept from this table.
Without the y-intercept, we cannot determine the equation of the line.
can u simplify this pls
Apologies for the confusion. Let's simplify the answers.
The rate of change is the change in y divided by the change in x. In this case, the change in y is 80 - 10 = 70, and the change in x is 5 - (-2) = 7. So, the rate of change is 70/7 = 10.
The y-intercept represents the value of y when x is 0. Since we don't have a value for x=0 in the table, we cannot determine the y-intercept.
Without the y-intercept, we cannot determine the equation of the line.
so the rate of change is 10?
Yes, that's correct. The rate of change is 10.
and the y intercept is 0
Apologies for the confusion in my previous response. Since there is no information for the y-value when x is 0 in the given table, we cannot determine the y-intercept from this data. Therefore, we do not know the value of the y-intercept.
well is there an equation we could use. cause i don't need to fail this test
To find the equation of the line, we need to determine the slope (rate of change) and the y-intercept.
Since the rate of change is 10, we can use the point-slope form of the equation, which is y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is any point on the line.
Let's choose one of the points from the table, like (-2, 80). Using this point and the slope (10), we can substitute them into the point-slope form:
y - 80 = 10(x - (-2))
Simplifying the equation further:
y - 80 = 10(x + 2)
Expanding the brackets:
y - 80 = 10x + 20
Finally, rearranging the equation to slope-intercept form (y = mx + b) by isolating y:
y = 10x + 20 + 80
y = 10x + 100
So, the equation of the line is y = 10x + 100.