Question

1. slope m = ______ y - intercept b = ______

Explanation:

Step1: Identify two points on the line

We can see the line passes through (-3,0) and (0,3).

Step2: Calculate the slope

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(-3,0)$ and $(x_2,y_2)=(0,3)$. Then $m=\frac{3 - 0}{0-(-3)}=\frac{3}{3}=1$.

Step3: Determine the y - intercept

The y - intercept is the y - coordinate of the point where the line crosses the y - axis. The line crosses the y - axis at the point (0,3), so $b = 3$.

Answer:

slope $m = 1$
y - intercept $b = 3$