Given:
Line of the graph
To find:
Equation of the line
Solution:
Take any two points on the graph of the line.
Let the points are (0, 3) and (3, 0).
Slope of the line:
[tex]$m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here, [tex]x_1=0, y_1=3, x_2=3, y_2=0[/tex]
[tex]$m=\frac{0-3}{3-0}[/tex]
[tex]$m=\frac{-3}{3}[/tex]
m = -1
b = y-intercept
y-intercept of the graph is the point which x = 0.
y-intercept is 3 when x = 0.
⇒ b = 3
Equation of a line:
y = mx + b
y = -1(x) + 3
y = -x + 3
The equation of the line is y = -x + 3.
