Answer:
C.
Step-by-step explanation:
recall that the point-slope form of a linear equation is given by
y = mx + c
Rearranging so that it is in the same form as the answer choices, we get
y = c + mx
where m is the slope and c is the y-intercept
we note the following observations
1) The line goes from top left to bottom right, this means that the slope is negative, hence m has to be negative. (in our case, all the choices have negative x)
2) The line crosses the y-axis at y = 4, this means the y-intercept is 4 and hence c = 4.
If we look at the choices, only choice B satisfies both observations (that m is negative and c = 4)
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