Question

use the slope and y-intercept to write the equation of the line. first, find the slope of the line. m = blank graph of a line on a coordinate plane

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through the points \((-2, 0)\) and \((0, 1)\) (we can also use other points, but these are clear).

Step2: Use the slope formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\)

Let \((x_1,y_1)=(-2,0)\) and \((x_2,y_2)=(0,1)\). Then \(m=\frac{1 - 0}{0 - (-2)}=\frac{1}{2}\).

Answer:

\(\frac{1}{2}\)