Question

name: james letsinger
t form from graphs
worksheet

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

m =

b =

equation:

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

Explanation:

Step1: Find two points on the line

Let's take the points (0, 8) and (10, 3).

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting the points, we have $m=\frac{3 - 8}{10 - 0}=\frac{- 5}{10}=-\frac{1}{2}$.

Step3: Identify the y - intercept $b$

The y - intercept is the y - value when $x = 0$. From the point (0, 8), $b = 8$.

Step4: Write the equation of the line

The slope - intercept form of a line is $y=mx + b$. Substituting $m=-\frac{1}{2}$ and $b = 8$, we get $y=-\frac{1}{2}x + 8$.

Answer:

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