First, let's start by findind the slope
Pick any two point from x and its correspondance y
I will choose;
(4, 0) and (8, 3)
To find the slope, we will use the formula;
slope(m) = y₂ - y₁ /x₂ - x₁
x₁ = 4 y₁ = 0 x₂ = 8 y₂ = 3
substituting into the formula;
slope (m) = 3-0 / 8-4
slope(m) = 3/4
slope(m) = 0.75
We can find the y intercept using the formula;
y= mx + b
where b is the intercept
substuting any of the point (x,y) and slope(m) then solve for b
I will choose the point (4, 0)
slope(m) = 0.75
substituting the values into the formula;
0 = (0.75 )(4) + b
0= 3 + b
subtract 3 from both-side of the equation
-3 = b
b= -3
The y-int. is -3
We can form our equation using;
y = mx + b
m= 0.75 or 3/4
b = -3
substituting into the formula;
y = 0.75x -3
or
y= 3/4 x - 3
+ b