Let's take the first value of x and y.
When x = 4, y = -3. This also gives us point
(4, -3). We need another point to find the slope.
From the table I see the point (5, -4.5)
.
See it?
Let m = slope
m = (-4.5 -(-3))/(5-4)
m = (-4.5 + 3)/1
m = (-1.5)/1
m = -1.5
Now, use the slope m and one of the points to plug into the point-slope formula.
Here is the point-slope formula:
y - y_1 = m(x - x_1)
I will use the point (4, -3) and m.
y - (-3) = -1.5(x - 4)
y + 3 = -1.5x + 6
The slope-intercept form we want is
y = mx + b.
y = -1.5x + 3
