Answer:
2. -3/2
6. -5/4
8. 7/6
10. 10
Step-by-step explanation:
2. Your Que 1 shows exactly how to work problems 1 to 6. Find the difference in y-coordinates, and divide that by the difference in x-coordinates. For Que 2, that is ...
[tex]\dfrac{9-6}{-5-(-3)}=\dfrac{3}{-2}=-\dfrac{3}{2}[/tex]
6. The vertical change in y between the marked points (left to right) is -5 grid squares. The horizontal change is +4 grid squares. Thus, the slope is ...
... (change in y)/(change in x) = -5/4
8. The slope-intercept form of the equation for a line is ...
... y = mx + b
The slope (m) is the coefficient of x. The y-intercept (b) is the constant term. Identifying slope and intercept is a matter of matching the given equation to this pattern and identifying corresponding parts.
Your equation has an x-coefficient of 7/6. That is the slope. m = 7/6.
10. See the explanation for 8. Your equation has a constant term of 10. b = 10.
