Answer:
Slope: 2
a: 5
b: 6
y-coordinate when x = 0: -2
Step-by-step explanation:
To find the slope, you need to divide the change in the y values between two points on a line by their change in x values. The two complete points given are (6, 10) and (2, 2), so doing this for them would be...
(10-2)/(6-2) = 8/4 = 2, so your slope is 2
To find a, you must use this slope by counting from one of the points. For every one you go to the right, you go up two. So, how many times do you need to go up 2 (slope), from 2 (starting point's y coordinate), to get to 8 (target point's y coordinate)? (8-2)/2 = 6/2 = 3, so 3 times. Add that to 2 (starting point's x coordinate) to get 5, so a is 5.
To find b, you can just use (6, 8). You know you're going to the LEFT one, so you must go DOWN 2. Subtract 2 from 8 to get 6.
For the last question, do the same with (2, 2). You're going LEFT 2, so you're going DOWN 4. Subtract 4 from 2 to get -2.
Let me know if you need a more in-depth explanation on any part of this!
