Question

I don’t understand! Help me Please!

Answer 1

Answer:

1.) Slope = -1.5

2.) y-Intercept  = 11.5

3.) y = -1.5x+ 11.5

Step-by-step explanation:

1.) Slope

Every time x decreases by two units, y increases by three units.

Slope = m = Δy/Δx = 3/(-2) = -1.5

2.) y-intercept

The y-intercept (b) is the value of y when x = 0.

When x = -1, y = 13.

If we increase x by 1 unit, x will equal 0.

The slope tells us that when x increases by 1 unit, y decreases by 1.5 units.

y = 13 - 1.5 = 11.5

The y-intercept is at y = 11.5.

3.) Equation

The equation for a straight line is

y = mx + b

m = -1.5 and b = 11.5, so

y= -1.5 x + 11.5

The figure below shows your points and the graph of y = -1.5x + 11.5, with a y-intercept at x = 0, y = 11.5.