Answer:
see explanation
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 2) and (x₂, y₂ ) = (4, 5) ← 2 points on the line
m = [tex]\frac{5-2}{4-2}[/tex] = [tex]\frac{3}{2}[/tex]
use either of the 2 points for (a, b)
Using (a, b) = (2, 2), then
y - 2 = [tex]\frac{3}{2}[/tex](x - 2) ← equation of line
