Answer:
y - 4 = [tex]\frac{1}{5}[/tex](x - 7)
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, 3) and (x₂, y₂ ) = (7, 4)
m = [tex]\frac{4-3}{7-2}[/tex] = [tex]\frac{1}{5}[/tex]
Use either of the 2 points for (a, b)
Using (7, 4), then
y - 4 = [tex]\frac{1}{5}[/tex](x - 7) ← in point- slope form
