How do you find the slope and intercept of #f(x) = -6x - 7#?
1 Answer
y-intercept
x-intercept
Explanation:
For a linear equation, a way to find the slope and intercept of a function (aside from graphing) is to examine the slope-intercept form of the equation. Generally it looks like this:
Where
In this case, the function you gave is already in the desired format so we do not have manipulate it. If the equation is in another format, we need to do the necessary manipulations (transposing, simplifying etc.) before we can start with the process
The given equation is
So comparing it with the general slope-intercept form, we would know that:
- The slope is -6
#(m = -6)# - The y-intercept is
#-7#
The y-intercept is technically the point at which the graph intersects the y-axis. In this case, another way of getting the value of the y-intercept is by evaluating the equation using
when
As for the x-intercept, we use the same process done for the y-intercept except we evaluate using
when
Final Answer:
y - intercept
x - intercept