The equation of a line with slope(m) that passes through two points (x₁,y₁) and (x₂,y₂) in Point-Slope is given by:
[tex]y-y_1=m(x-x_1)[/tex]
Where the slope, m is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the graph, the coordinates of the yellow points are (0,5) and (6,9).
Substitute (x₁,y₁)=(0,5) and (x₂,y₂)=(6,9) into the slope formula:
[tex]m=\frac{9-5}{6-0}=\frac{4}{6}=\frac{2}{3}[/tex]
Hence, the slope is 2/3.
Substitute m=2/3 and (x₁,y₁)=(0,5) into t
[tex]m=\frac{9-5}{6-0}=\frac{4}{6}=\frac{2}{3}[/tex]
Hence, the slope is 2/3.
Substitute m=2/3 and (x₁,y₁)=(0,5) into t
[tex]m=\frac{9-5}{6-0}=\frac{4}{6}=\frac{2}{3}[/tex]
Hence, the slope is 2/3.
Substitute m=2/3 and (x₁,y₁)=(0,5) into t
