Using graph paper, determine the line described by the given point and slope. click to show the correct graph below. (0, -2) and -2/3.

y = -(5/2)x -2

Explanation:

The general formula for a straight line is y – mx + b.

The image below shows the graph of the line.

Step 1. Calculate the slope.

Slope = m = Δy/Δx = (y₂-y₁)/(x₂-x₁)

x₁ = 0; y₁ = -2

x₂ = -2; y₂ = 3     Calculate m

m = [3-(-2)]/(-2-0)

m = (3+2)/(-2)

m = 5/(-2)

m = -5/2

Step 2. Calculate the y-intercept

When x = 0, y = 2.

The y-intercept (b) is at y = -2

Step 3. Write the equation for the graph

y = mx + b

y = -(5/2)x - 2

f

step-by-step explanation:

f

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3