Answer:
y = 1/7x + 23/7 or y = 1/7x + 3 and 2/7
Step-by-step explanation:
If you are learning about this, I suppose you know the formula or how to get the slope. You want to divide the rise over run or take the two y values divided the two x values:
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
The two points we have are (-2, 3) and (5, 4)
So:
4 - 3 / 5 - (-2)
1 / 5 + 2
Slope: 1 / 7
Now we want to find b in y = mx + b,
We can write it as y = 1/6x + b, then plug in a y and x value:
3 = 1/7(-2) + b
3 + 2/7 = b
b = 23/7
We can check by using the other point we have:
4 = 1/7(5) + b
4 - 5/7 = b
b = 23/7 or 3 and 2/7
Then the equation is: y = 1/7x + 23/7
