Question

What is the slope of the line that passes through the points A(-2, -1) and D(3,5) ?

Answer 1

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