Option A is the correct answer.
If you look at the x and y values in table D, you’ll see that the change in y values is +2, while the change in x values is +1. Thus, the slope is 2/1 or 2.
Another way to look at it is by solving for the slope:
Using coordinates: (3, 5) (4 ,7):
Let x1 = 3
x2 = 4
y1 = 5
y2 = 7
[tex]m = \frac{(y_{2} - y_{1}) }{(x_{2} - x_{1}) }[/tex]
[tex]m = \frac{7 - 5}{4 - 3} = \frac{2}{1} = 2[/tex]
Therefore, the slope (m) = 2.
For the y-intercept, (b): it is the value of y when x = 0.
Let x = 0:
y = mx + b
y = 2(0) -1
y = -1
Therefore, the y-intercept is -1, which is also included in the given equation.
