Answer:
y = 6/8x - 3/2
Step-by-step explanation:
In this case, since we don't yet know the exact fraction for the y-intercept, we will find the slope first.
To find slope, we will simply start at the first point that is given to us on the graph, and then count the units up and over until we reach the second point. (Remember rise/run)
Our slope is 6/8, because we went upwards 6 units and to the right 8 units.
Now, in order to find the y-Intercept, we will use the point slope formula⤵⤵⤵
[tex]y - y _{1} = m(x - x _{1})[/tex]
We will plug in one of the points that the line passes through. In this case we will use the first given point. The coordinates of the point are (-3,-2).
y - (-3) = 6/8 (x- (-2)) or we can just simplify this to:
y + 3 = 6/8 (x + 2)
To solve this, first distribute 6/8 among everything inside the parenthesis to get
y + 3 = 6/8x + 3/2 (6/8 × 2 = 12/8 then simplify to 3/2). Next we will subtract 3 on both sides to get
y = 6/8x - 3/2.
And there we go, we're done. Hope this helps you :)
