Answer: y = 1.2x + 1.4
Step-by-step explanation:
1. Write down the coordinates of the first point. Let's assume it is a point with x₁ = -2and y₁ = -1.
2. Write down the coordinates of the second point as well. Let's take a point with x₂ = 3 and y₂ = 5.
3. Use the slope intercept formula to find the slope:
m = (y₂ - y₁)/(x₂ - x₁) = (5-1)/(3-2) = 4/1 = 1.2
4. Calculate the y-intercept. You can also use x₂ and y₂ instead of x₁ and y₁ here.
b = y₁ - m * x₁ = -1 - 1.2*-2 = 1.4
5. Put all these values together to construct the slope intercept form of a linear equation:
y = 1.2x + 1.4