Question

What is the equation of the line which includes points (0,3) and (4,5)

Answer 1

Answer:

y = $\frac{1}{2}$ x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 5)

m = $\frac{5-3}{4-0}$ = $\frac{2}{4}$ = $\frac{1}{2}$

Note the line crosses the y- axis at (0, 3) ⇒ c = 3, thus

y = $\frac{1}{2}$ x + 3 ← equation of line