Question

1. identify the slope, y - intercept and equation of the line graphed on the coordinate grid.

equation: $y =-\frac{1}{2}x + 8$
m =

b =

equation:

1. identify the slope, y - intercept and equation of the line graphed on the coordinate grid.

Explanation:

Step1: Determine slope from graph

Pick two points, say (0, - 4) and (1, - 1). Slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{-1-(-4)}{1 - 0}=\frac{-1 + 4}{1}=3$.

Step2: Determine y - intercept

The line crosses the y - axis at (0, - 4), so $b=-4$.

Step3: Write the equation

Using the slope - intercept form $y=mx + b$, the equation is $y = 3x-4$.

Answer:

$m = 3$
$b=-4$
Equation: $y = 3x-4$