Question

What is the slope of the line shown in the graph? A coordinate plane graph is shown. Points are plotted at 0 comma 3 and 1 comma 1. The points are joined by a line. −1 −2 negative 1 over 2 2

Answer 1

Answer:

the equation is y = -2x + 3.

Step-by-step explanation:

As we move from (0, 3) to (1, 1), x increases by 1 and y decreases by 2.

Hence, the slope of the line connecting these two points is

m = rise / run = -2/1, or just m = -2.

Starting with y = mx + b, and using the point (0, 3) and the slope m = -2, we get an expression for the y-intercept, b:

3 = -2(0) + b.  Thus, b = 3, and the equation is y = -2x + 3.