Convert to slope-intercept form, y = mx + b.
Subtract 2x to both sides:
Divide 3 to both sides:
Now it's in slope intercept form, y = mx + b where 'm' is the slope. So the slope here is -2/3, which is Negative.
This is already in slope intercept form. So the slope here is 3, which is Positive.
For #3 and #4, take any two points from the table and plug them into the slope formula.
Let's take (0, 7) and (1, 5).
x1 y1 x2 y2
Subtract:
Divide:
So the slope is negative.
For #4, let's take (2, -8) and (3, -7)
x1 y1 x2 y2
Subtract:
Divide:
So the slope is positive.