To find the slope of a line, we will use the formula for slope, where m = change in y values/change in x values. This means that we must use two ordered pairs (sets of points) to find the slope. From the table shown above, we can get the ordered pairs (1,2) and (3,3) because they are written in the form (x,y). Now, we can substitute in these values into our formula, as shown below:
m = y2 - y1/x2 - x1 = (3-2)/(3-1)
To simplify this, we first perform the subtraction in the numerator and the denominator and then divide afterwards.
(3-2)/(3-1) = 1/2
Therefore, the slope is 1/2, which means that between each point, the graph rises 1 unit and goes across 2 units in the upwards direction because the slope is positive.
Your answer is A) 1/2.
Hope this helps!
