Question

use the graph, given above, to find the slope and equation for the line.
a) slope of the line: ( m = -\frac{3}{2} )
b) the equation of the line in slope - intercept form:
assume the vertical axis is ( y ) and the horizontal axis is ( x ).

Explanation:

Step1: Recall slope-intercept form

The slope-intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Step2: Identify y-intercept from graph

The line crosses the y-axis at $(0, 1)$, so $b = 1$.

Step3: Substitute slope and intercept

We know $m = -\frac{3}{2}$ and $b = 1$, substitute into the slope-intercept formula.
$y = -\frac{3}{2}x + 1$

Answer:

$y = -\frac{3}{2}x + 1$