d=3t-2, can you please list the independent variable, slope and y- intercept even though the variables are different?
compare it with
y = mx + b
could you answer your question had the equation been
y = 3x - 2 ?
To identify the independent variable, slope, and y-intercept of the given equation, we need to understand the general format of a linear equation, which is in the form of y = mx + b, where:
- "y" represents the dependent variable (output),
- "x" represents the independent variable (input),
- "m" represents the slope,
- "b" represents the y-intercept.
Now, let's compare the given equation, d = 3t - 2, to the general linear equation form.
In the given equation, we can observe:
- "d" is the dependent variable.
- "t" is the independent variable.
- The equation does not follow the format of y = mx + b, but that is not an issue. We can still identify the slope and y-intercept.
The slope of the equation is the coefficient of the independent variable. In this case, the coefficient of "t" is 3. Therefore, the slope (m) is 3.
To find the y-intercept, which is the value of "d" when the independent variable "t" is 0, we can substitute t = 0 into the equation and solve for "d".
Plugging in t = 0, the equation becomes:
d = 3(0) - 2
d = -2
Hence, the independent variable is "t," the slope is 3, and the y-intercept is -2.