What is the slope-intercept form equation of the line that passes through (1, 3) and (3, 7)?

Solution:

We have equation of line passing through two points (x₁, y₁) and (x₂, y₂) as,

(y - y₁) = [(y₂ - y₁)/(x₂ - x₁)] (x - x₁)

Here, (x₁, y₁) = (1, 3) and (x₂, y₂) = (3, 7)

⇒ (y - 3) = [(7 - 3)/(3 - 1)] (x - 1)

⇒ (y - 3) = (4/2)(x - 1)

⇒ (y - 3) = 2(x - 1)

⇒ 2x - y + 1 = 0 ---- (1)

Now, slope-intercept form of line is y = mx + c

Rearranging equation (1) ⇒ y = 2x +1

Therefore, the required equation is y = 2x +1

What is the slope-intercept form equation of the line that passes through (1, 3) and (3, 7)?

Summary:

The slope-intercept form equation of the line that passes through (1, 3) and (3, 7) is y = 2x +1.