Question

use the graph given above, to find the slope and equation for the line.
a) slope of the line: m =

b) the equation of the line in slope - intercept form:

assume the vertical axis is y and the horizontal axis is x.

Explanation:

Step1: Identify two points on line

Choose points $(x_1,y_1)=(0,1)$ and $(x_2,y_2)=(1,2)$

Step2: Calculate slope $m$

Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{2-1}{1-0}=1$

Step3: Find y-intercept $b$

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

Step4: Write slope-intercept equation

Use form $y=mx+b$
$y=1\cdot x + 1$

Answer:

a) $1$
b) $y=x+1$