Answer:
The slope of the given line is -3/4.
Step-by-step explanation:
We can find the slope of the given line by finding coordinates on the line with integer values and putting them into the slope equation:
(y₂ - y₁) / (x₂ - x₁)
Starting at the left side, we can see that the line goes through the point (-4,4). The next point that the line aligns with is (0,1), which is the y-intercept of the line because it is the point on the line where x = 0. We will now substitute these values into the slope formula.
(1-4)/(0--4) = (-3)/(4)
We can check this logically because the line does point downwards when looking left to right, and it looks as though it points clser to horizontally than vertically. This can help us check if our answer makes sense, but we should not use this method to find our answer. Instead, always find our answers algebraically.
The slope of the given line is -3/4.
