Answer:
The equation that represents a slope of -4 and y-intercept of (0,2) is:
[tex]f(x) = -4x + 2[/tex]
Step-by-step explanation:
The equation of a line can be described by a first order equation in the following format:
[tex]f(x) = ax + b[/tex]
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:
[tex]a = -4[/tex]
y intercept is 2, so
[tex]b = 2[/tex]
The equation that represents a slope of -4 and y-intercept of (0,2) is:
[tex]f(x) = -4x + 2[/tex]
Why the others are wrong?
[tex]y = -2x[/tex]
Here, the slope is -2, and the y intercept is (0,0).
[tex]y = -2x-4[/tex]
For this option, the slope is -2 and the y intercept is (0,-4).
[tex]y = 4x + 2[/tex]
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
