Answer:
top most choice :
y = -2x-4
Step-by-step explanation:
recall that the general formula for a line in slope - intercept form is
y = mx + b,
where
b = y-intercept
m = slope
If we observe our graph, we can see that the line intersects the y-axis at y = -4. if we compare this to our general equation above, we can conclude that b must be -4.
Looking at our choices, the middle two choices has b = 4, hence we can ignore the two middle choices.
also recall, that if a line goes from bottom left to top right, the slope of the line is said to be positive , i.e m = positive
conversely, if the line goes from top left to bottom right, the slope of the line is said to be negative, i.e m = negative.
If we look at our graph, it is clear that the line goes from top left to bottom right, hence m is negative.
Only the top choice gives us a negative slope (i.e. m = -2)
Hence we can discard the last choice, leaving the top choice as the correct answer.
