Question

find the slope of the graph and the equation. do they have the same slopes?
draw
$y = -x + 1$
show your work here
slope of graph =
slope of equation =
\\(\circ\\) yes, the slopes are the same. \\(\circ\\) no, the slopes are not the same

Explanation:

Step1: Find slope of graph

Use two points on the line, e.g., \((0, 1)\) and \((2, 3)\) (from the graph). Slope formula: \(m = \frac{y_2 - y_1}{x_2 - x_1}\). So \(m = \frac{3 - 1}{2 - 0} = \frac{2}{2} = 1\).

Step2: Find slope of equation

The equation is \(y = -x + 1\), in slope - intercept form \(y = mx + b\), so slope \(m = - 1\).

Step3: Compare slopes

Graph slope is \(1\), equation slope is \(-1\), so they are not the same.

Answer:

Slope of graph = \(1\)
Slope of equation = \(-1\)
No, the slopes are not the same.