Answer:
y=5x+3
Step-by-step explanation:
You have the points (1,8) (2,13) (3,18) (4,23)
first you want to find the slope. The equation to find a slope is y2-y1 / x2-x1
your points (1,8) and (2,13) are really all you need
1 would be your x1 and your 2 would be your x2.
8 would be your y1 and 2 your y2
so you want to plug those into your equation y2-y1/x2-x1
13-8 /2-1 you get 5/1
Simplify your answer is 5 for your slope
Now finding the y intercept or "b" I normally just find the pattern of the sequence so in this case when you add one to the top your adding five to the bottom like
x 1 2 3 4
y 8 13 18 23
so to get to your y intercept which is (0,y)
subtract 1 from the top to get zero and subtract 5 from the bottom to get 3 so your y intercept is 3.
Hope this helps.
