Question

If a line passes through the points (2,2) and (4,5), the equation of the line is 2=3/2(x-__)?

Answer 1

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 = $\frac{5-2}{4-2}$ = $\frac{3}{2}$

use either of the 2 points for (a, b)

Using (a, b) = (2, 2), then

y - 2 = $\frac{3}{2}$(x - 2) ← equation of line