The equation that represents a slope of -4 and y-intercept of (0,2) is:
![f(x) = -4x + 2](/tpl/images/0234/1665/5cd9e.png)
Step-by-step explanation:
The equation of a line can be described by a first order equation in the following format:
![f(x) = ax + b](/tpl/images/0234/1665/ccb09.png)
In which a is the slope of the line and b is the y-intercept.
Solution:
The problem states that the slope is -4, so:
![a = -4](/tpl/images/0234/1665/f9f00.png)
y intercept is 2, so
![b = 2](/tpl/images/0234/1665/fe048.png)
The equation that represents a slope of -4 and y-intercept of (0,2) is:
![f(x) = -4x + 2](/tpl/images/0234/1665/5cd9e.png)
Why the others are wrong?
![y = -2x](/tpl/images/0234/1665/84839.png)
Here, the slope is -2, and the y intercept is (0,0).
![y = -2x-4](/tpl/images/0234/1665/a507b.png)
For this option, the slope is -2 and the y intercept is (0,-4).
![y = 4x + 2](/tpl/images/0234/1665/01dfd.png)
Finally, here we have a slope of 4 and y intercept of (0,2). The y-intercept is what we want, but not the slope